As an immigrant to USA, living here for 20 years, you're unequivocally wrong about this point. There is an American culture, and cult of "American dream". There are English as a Second Language programs, job integration programs, classes at every language of educations, rules and traditions for immigrant flow. The police, governments, and citizens of USA all know this is a country of immigrants and all have respect for immigrants, even if there is an "illegal" immigrant backlash right now. The threat of violence coming from political extremes absolutely does not represent the majority of people every day interactions.
In sum, American integration does exist, and I have first hand and second hand data to prove it. I'm not an expert on your other points, and I think you're trying to prove the sky is not blue, but genuinely, good luck.