Columbus stumbled upon the New World while looking for a new sea route to Asia. There were no Chinese or Indian traders looking for sea routes to Europe.

Before industrialization, there weren't that many things Europe had to offer that weren't already available elsewhere (Asia already had firearms and ships, maybe not as good, but good enough for the era). Whereas India had pepper and spices and China had silk, both of which were highly valued in Europe and could not be produced domestically.

> Let's remember that e.g. the Inca empire, one of the biggest empires the world had ever seen at the time, was essentially colonised by 168 men (with one canon) [1] ... There are many reasons for this, but clearly an important reason is that the conquered empires where themselves forged with violence

There were other reasons too. Pizarro's men had steel armor and weapons whereas the Incas had stone or bronze weapons and padded armor. They had horses (mounted lances can do stunning amounts of damage to unprepared infantry) and the Incas had no experience in dealing with horse-mounted troops when you're on foot (spear walls, spiked pits etc). Pizarro held the Incan emperor hostage. Smallpox and other diseases took their toll later on. etc. etc.

The key to the Spanish conquest was that the Inca empire was full of internal conflict, the most important of which was the lethal enmity between the sons of Huayna Capac. The Spanish never really had trouble finding native allies, who were only too happy to get some rival tribe to be 'wacked' by association with the conquistadores.

That's possibly not true. The author of this book makes a compelling case the Chinese had actually been exploring earlier:

https://www.amazon.com/1421-Year-China-Discovered-America/dp...

I'd never heard of this book (or theory before) but its Wikipedia page has lots of criticisms and claims that the book is basically nonsense (having said that, many of the references are to a site called 1421exposed.com so...¯\_(ツ)_/¯ ). The Wikipedia article about Zheng He's voyages (https://en.wikipedia.org/wiki/Treasure_voyages#Seventh_voyag...) has substantially better references and makes no claims (even speculations) that he ever traveled to the New World.

Let's just admit that if such a voyage did in fact take place, it did not make anywhere near the impact as in Europe.

    to mentally subjugate them.

It really doesn't work this way. If you don't believe me, try your scheme on your neighbours. Report back.