Your aviation experience and credentials should allow you to get interview calls by top tier and second tier US major airlines.

You will not be able to do direct entry captain or upgrade immediately since that would require 1000 hours of US 121 time (or some US 135 or military alternatives).

The issue is the green card. It's common knowledge that there's a temp visa for Australian pilots, but everybody else would need to apply for the lottery as far as I know.

Most foriegn pilots that I've flown with in the US got a green card via dual citizenship or marriage. Not sure what the odds are for green card lottery right now.