Actually, if I may wax philosophical for a moment, I think this is a major misconception.
I think all Americans come down on the opportunity side of this. The difference is more about what constitutes a fair opportunity. Some - like you, I suspect - see any action taken by the state to insure a level playing field as guaranteeing an outcome. But it is the lack of state action that guarantees that: if some competitors start at the 100 meter line and others at the 30 meter line, theres no doubt who'll win the race. If we could guarantee that merit alone gave the folks at the 30 meter line their advantage, I don't think most people would be that bent out of shape; we all know that some of us were more favored by "nature" then others. But, of course, we can't do that. Inequalities in wealth and status are responsible for the lion's share of the 30 meter group and most of them got that advantage through no effort of their own. The state steps in to see that the race is more even - not, mind, completely even - not to guarantee the outcome. That way opportunity doesn't clump as completely with those who would win with virtually no effort or merit of their own otherwise. Not doing so is both unjust - what's a state for if not to insure a more fair society? - and economically inefficient - we want people to grab the brass ring because they are smart and worked for it, not because their family is rich.
We can argue about what's necessary to insure more fair competition, but I don't think the main point is arguable.
Mods feel free to move this; I know it doesn't really
Nm