kodokan

This is very true. Hubby works for one of the aerospace companies that's been mentioned in this thread. He moved out here on an L1-A; until he got a Green Card 15 months later, there were certain parts of the building/ certain buildings on the campus, that he couldn't go into without an escort (or possibly even at all; he's not currently here to ask). This is for a company for whom he's worked for 13 years, and which has already security-checked him extensively in the two other countries in which he's worked for them.

Coming here to study is a good suggestion. His company has certain 'pet' colleges from which they recruit; hubby works in supply chain, for example, and they only take graduates from 3 or 4 specific unis, where they have already pre-vetted the course and know it's exactly what they want their newbies to have learned. Apparently this is very common here, that companies will only hire from their known college base, and won't consider applicants from elsewhere.

Given all these barriers, it'll be very, very, very difficult to get such companies to take any interest in a new graduate from a foreign country. Hubby, who also has an engineering Masters, wasn't moved over for his technical skills (which are excellent, it's just that the US has a lot of those already) but because he worked in the European head office for some years, so has a unique knowledge/ experience base that enables him to be the management interface between the US and Euro operations.