Just because every culture has done it doesn't make it right. That's the entire point. And I highly doubt that's the case, true many of the native americans actually fought the immigrants that came into this country, but many as well welcomed them with open arms. So to automatically assumed the native americans would've committed genocide when they enter America is asinine and narcissistic seeing as it's mostly just looking at things through a conqueror's point of view.
Secondly, no, this country wasn't founded on capitalism, it was founded on mass genocide, pure and simple. It's just double speak, and to try and justify the almost extinction of a group of people just because they were the "losers"
of their own land is pretty sad. As stated before, this country was not founded on capitalism, because capitalism didn't exist when they first appeared, no this country was founded on illegal immigration.
Lastly, you are pointing the finger at the wrong place when it comes to education and health care. health care is crappy because it's built within the capitalistic system. Meaning their are over 40 million people who are unisured at the moment because they can't "afford" health assurance, as many places in the world laugh at our ignorant asses.
Than you have education, which constantly gets cuts from the government, both federal and state, because it's not considered as "important" as other avenues. And than we wonder why other countries are outsmarting us left and right.
So yes, illegal immigration does upset the balance of capitalism, but it's the aspect of capitalism that is damaging other avenues such as health care and education in the first place. If we were a hybrid nation like many other countries, we wouldn't be in the jam we are now. But no, this country was founded on greed and genocide, and I don't see that changing any time soon.