You can find a few outliers (such as the usual crop of left-anarchists who want to smash governments and replace them with, um, different organizations that make people in their territories follow rules through coercion), but they are of no significance and give no cover to the sloppy American tendency to call a capitalist society with a welfare state "socialist".
Nope, not necessarily. There are many definitions of socialism, and lots of movements defined as socialists. Many of them don't involve State control of production, eg http://en.wikipedia.org/wiki/Libertarian_socialism