If you don't have a 4 year university degree and you are not a US citizen or you don't have a green card, you won't get hired at a US Major at this time.
If you had the green card or citizenship, you would have a very steep uphill path to get hired at a major. Without a degree: Regionals no problem, ULCCs and ACMI maybe.
I've seen guys with less flying experience get hired at the US majors, but they place a lot of emphasis on other things here in the US. They have a set profile that they look for.