Everyone's taxes would have to go up, but for a lot of people it would be worth the trade off if it meant their children could go to college tuition free. Really depends on your situation. I suspect everyone's taxes are going up eventually anyway though to pay off our national debt.
Yes, everyone's taxes have to go up in America. I would imagine more so for the extremely wealthy.
Why wouldn't we want the smartest, healthiest people on the planet here?
Denmark is not some Socialist Utopia, but there are lessons that can be learned about how society works better. Perhaps some of those would work here, too.