hate from anti-immigrant US citizens as I realize that's a popular position these days
Stop watching CNN.
Anti illegal immigrant to be precise. The media, especially those in Europe are controlled by liberals so their viewpoint is quite skewed. The US is a very different country with its special political system and constitution. Embrace the difference.
American has less vacation days, much less than those in Europe, so forget about 6 weeks vacation policy a year. Also, American don't have the backpacker or traveler mindset, we travel much less than the European.
Employment in the US is at-will, that means you can be let go at anytime, 1 month, 2 months, 1 year... so be ready for that. I know in the EU, it's hard to fire/lay-off somebody. But in the US, it's extremely easy.
It's a tougher market here. Internship is more or less a marketing tool for big firms, don't take it too seriously. Just because you have one or two internships doesn't mean you are going to get a full-time offer.
3 month internship is easy to sponsor, but if a company wants to hire you on a full time basis, there's a lot of hoops to jump through. Either you can get some exp and be put on L1 visa, or you have to go through the H1B route.
There are millions of students coming to the US very year, and these people have just about the same or better qualification than you do, and the same thirst for success. They are just as aggressive as you are. Take a deep breath and think what makes you so special that companies have to hire you?