I'm sorry, but you must be pretty sheltered if you think any type of segregation, even private business, will go down well. Segregation will cause people to form a more 'us vs. them' tribal mentality and increase sexism, racism, homophobia, transphobia, religious intolerance, and so on. You will see a lot of riots and violence out in the street, consent murder and abuse on innocent people, and mobs destroying both private and public property. It will be a nightmare, and the country will be even more greatly divided than it already is.
Let's also go about the fact there are minorities much worse off than others in terms of how society looks and treats them. For transgender people like me, we won't last a week in this proposed new America that you bring up. 99% of businesses will refuse to serve us and I bet that the new hostility caused by the reinforcement of 'us vs them' will end up getting us killed faster than before. I mean, I already have a hard time living my life in a liberal place like Massachusetts, God help those like me who live in Mississippi or Louisiana, they would really suffer even greater.