Capitalist vs Social Capitalist

We say that we are a capitalistic society. This is not completely true. I once had a teacher who explained that a capitalistic society would have no welfare, no medicare, and no financial aid for college. I'll add, there would be no free lunch program, no animal shelters, no psychologists for people with low income, no group homes for the developmentally disabled. And Walmart would be allowed to take over the country. Basically, all those things that help our society survive would not be there. Our country is Social Capitalistic. We have services that aid people who need it. We also encourage big business, but with a limit. And we allow people to climb an economic ladder (ideally).
Some people, as well as an online survey that I took, say that I am a socialist. Given a choice between capitalist and socialist, I'd agree. But I do like the concept of social capitalism. If I ran the country, which I never will, I would be much more on the social side of the term, than we are. Who was the president who instituted a guaranteed work program, and improved the national parks system? That sounds like good leadership. But I wouldn't say that there has to be absolute economic equality. Some people do work harder than others. But some people get the poor side of everything no matter how hard they try. So everyone should have their basic needs met: socially, economically, emotionally, physically, and spiritually. But from there, that's when capitalism should be allowed to become part of the mix.
-My Opinion Only
update: keep in mind that this was pre-Obama... I doubt I'd be more social than what he's doing.