I was born in 1957, for example, just on the downhill side of the CENTER of the baby boom. I think most of my own generation are NOT socialists at all.
In fact, if any generation can be said to be "socialist" it has been the WWII/Depression generation, the ones who fell head over heels for FDR and the New Deal.
True, there are lots of prominent 'Boomer socialists, but it so happens they're the ones who get all the press (and who, after all, are still alive, which can't really be said for the generation preceeding).
Gen-X/Y/Z have a far more onerous label: Slacker. They are the ones who are ripe fodder for the socialists in residence, no matter what their age.