Numbers and education push are what alloweth a cultural take over of a global industry.
Let's not forget "Namaste".
The total number of Indians in the US is ~3M [0].
Given the relatively miniscule number of Indians (or Chinese) in the US, I'd actually say both have had an outsized impact on the host country.
"Dominating" is a different notion. I cannot imagine a peaceful path to that end.
[0] https://www.immigrationresearch.org/indian-immigrants-in-the...