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Gabriel Chan, Overseas Chinese (華僑)
Instead of destroying the Chinese Navy, the 4th Ming Emperor encouraged emigration to new found lands to ease population pressures at home. By the mid-15th century, the first Chinese settlers landed in North America.
The Chinese would have noted the similarities in looks and in beliefs with North American First Nations. They probably thought: oh look, barbarians! Hope they are not hostile.... wonder if they have anything cool to trade. Life for the Chinese would not be much different in America than in Malaya.
Chinese settlers go native.
Then the native populations would die out from the cocktail of deadly diseases that the Chinese were unwittingly carrying, who are astonished that their new friends are dying out. They believe that they are the chosen people with blessings from the heavens. The population gradual becomes Chinese, as survivors assimilate into Chinese society.
As the Chinese slowly and surely migrated south, they encounter the more bellicose Mesoamerican civilizations. Eventually, the Chinese will wipe them out:
Because the Chu Ko Nu are super effective against the Aztec and Inca unique units ;) But more importantly, because of disease.
In 1492, Christopher Columbus reaches America, searching for India, and finds China.

那么明朝第四任皇帝就不会摧毁自己的海军了，而是鼓励中国人移民到新世界，以缓解国内的人口压力。到15世纪中期，第一批的中国移民就会抵达北美。
中国人会发现自己和北美土著在样貌和信仰上的相似性。他们可能会这样想：哦，瞧，野蛮人！希望他们没有敌意。。。并且想知道这些土著有没有什么好东西可以拿来交易呢。在美国的中国人的生活与在马来亚的中国人的生活不会有太大的差异。

中国人本土化
然后，这些土著人口会因为中国人无意中带来的致命疾病而灭绝，然后中国人会惊讶的发现自己的土著朋友竟然都灭绝了。于是他们相信自己是天选之人。于是美国人口渐渐汉化，因为这些美国土著幸存者被中国人的社会同化了。
随着中国人口渐渐向南迁移，他们遇到了更加好斗的中美洲文明。最终中国人会将他们消灭掉，因为诸葛弩用来对付印加人和阿兹特克人太好用了。但是更重要的武器是中国人带来的疾病。
1492年，寻找印度的哥伦布来到了美国，但是发现了中国。

Paul Denlinger
I find it hard to imagine Chinese going native, because that would involve them giving up Chinese food.
Chinese give up Chinese food? NEVER!

我很难想象在美国的中国人会本土化，因为那意味着中国人放弃中国食物。中国人放弃中国食物？不可能的事情！

David Hung-chih Tseng, MBA Marketing, Simon Fraser University (2020)
I take a pessimistic view of human nature, so I personally don’t expect the Chinese civilization to be any different. European colonization was motivated by trade and commerce first and foremost, and it was powered by chartered companies such as the Dutch East India Company and British East India Company that grew as powerful as some countries.
Similarly, Chinese migration and settlement in Southeast Asia produced industry-driven institutions with Chinese characteristics known as kongsi. Some of them were so powerful they had become their own countries, most notably the Lanfang Republic.
Map of the Lanfang Republic (far left)
European colonizers in the Americas divided and conquered the native population, allying with one local tribe against another; a striking resemblance to the Chinese who landed in Taiwan under Koxinga and employed similar tactics shortly after the Dutch had been chased out. “Using barbarians to fight barbarians” (以夷制夷), as the Chinese called it.
European settlements came into bloody conflicts with the Indigenous Americans, but so did Chinese settlements in Taiwan. Aboriginal Taiwanese headhunters targeted Chinese settlements out of intense hatred and a desire to attain honour, while Chinese settlers committed equally horrific acts such as cannibalism upon the Native Taiwanese. Believing that the flesh of “savages” contain special medicinal properties, the mostly-Hoklo Han settlers did not hesitate to create medicine using human body parts, often made into the form of a paste called fāngāo (番膏). This practice was not only documented by European missionaries but also Qing dynasty officials who stationed in Taiwan and later the Japanese.
From far Formosa : the island, its people and missions : Mackay, George Leslie, 1844-1901 : Free Download, Borrow, and Streaming : Internet Archive
Formosa Vintage Museum (秋惠文庫) keeps a photograph capturing such acts of barbarity. This is what it looks like in real-life.
Sadly, even in this alternate history, the Chinese settlers would ultimately drive the Native Americans out of their lands through warfare and forced assimilation policy (sinicization) not too unlike the residential schools of Canada, because similar things have been done to the local population (Baiyue) during the southern expansion of China under the Qin and Han dynasty; to the “southern barbarians” during “pacification” campaigns under Shu Han and the Jin dynasty, which continued through the Sui-Tang period; and to the Hmong-Mien (Miao-Yao) people under the Ming and Qing.


Andy Lee Chaisiri, learned history from folks all over the world
Ask the Native Taiwanese
We have an example of what happens when large amounts of Chinese take over another land already occupied by non-Chinese people. In the 16th century, the Qing dynasty defeated the Ming dynasty, so 30,000 Ming dynasty remnants retreated to Taiwan (where the native population was believed to be about 100,000) and formed the Kingdom of Tungning. The Dutch were already there though but were kicked out by the Chinese/Japanese Ming loyalist Koxinga in history's first seige between gunpowder armed Europeans and East Asians.
The Dutch may have already set an example for the Chinese on how to 'deal' with the native Taiwanese, as many had already been converted to Christianity. When Chinese forces won they went about re-educating natives from Christian to Confucian beliefs and replaced Churches with Confucian temples. The Dutch had already set a system of trade/exploitation of native resources too, which the Chinese continued. When the Qing dynasty took over Taiwan, they basically maintained the same system.
Ask the Indonesians/Malaysians
In the 1200's, the Yuan dynasty's fleet invaded Java but was repelled by the Singhasari kingdom, which in turn benefited from captured Chinese technology such as better ships. A century later the Ming dynasty would send their treasure fleets through Southeast Asia in a mission of peaceful trade, with some Chinese muslims staying behind to join the Muslim communities of Southeast Asia.
The Ming dynasty eventually established a peaceful relationship with the Muslim Malacca sultanate, with thousands of Fujian Chinese immigrating there. When Malacca fell to Portugal, the Ming dynasty responded with a boycott of Portuguese goods (only trading with Malaysians), even executing Portuguese envoys/bandits (sources vary), the Ming dynasty already had previous problems with Portuguese pirates. Relations with Portugal would improve over time though.
When the Dutch took over Indonesia in the 1700's, they segregated Chinese merchants and workers that otherwise lived among the Indonesians, culminating in the 1740 Batavia massacre where Chinese were targeted for death. While the Dutch embassy to the Qing dynasty apologized for the East India's company's murder of ethnic Chinese, the Qing Emperor told them that any Chinese who leaves Qing territory is no longer Chinese, so he didn't care. The only people willing to help the Chinese were the Javanese they lived with, leading to the Java War (1741–43) against Dutch rule.


Ashton Lee
Interesting. Singaporean friends were just telling me last night about Malacca Chinese/Malay mixing but we were mostly focused on the food; which is "another level" good mix of local Malay + Chinese.

有意思。我的新加坡朋友对我说了马六甲的马来人和中国人的混合，但大部分是在食物方面；你这个是另一个层面的混合了。

Andy Lee Chaisiri
Food mixes when the people who make the food mix.

只有制作食物的人混合了以后，食物才会混合。