Americans don't want European styled social democracy. But they're quickly seeing that the traditional fetish for Jeffersonian/Jacksonian for small government isn't necessarily the best way to get things done.
Well I would agree that Americans are moving away from traditional ideals of limited government. That is why politicians are always looking for the right issue to propose a new government programs for that they can cynically exploit it for votes without really solving the problem.
I whatever those politicians choose to call their beliefs it won't be social democracy but they call it progressive, populist or maybe even communitarian (if focus group data tells them that people like the sound of that term).