Using your interpretation that Socialists always go on the left, where does that put "Libertarian Socialists" (those anarcho-utopian-socialist types)?
Simple, they're socialists. They are also liars who are publicly denying their true agenda, which is the ridiulous vision of global socialism. Granted, a great many of them are useful idiots who simply have no clue.
I am probably the most right wing in this forum. I have no use for any government at all. That's anarchy, the real right wing.
If you recognize people in three classes: