I think you miss the point. You say you are appealing to the Radical Left, but the only plank in their policy platform you identify, with a gasp of horror, is nationalised healthcare.
Sixty-five nations have nationalised healthcare. Most of the world's population. All of Western Europe. Every one of the nations collectively called "the Free World" with the exception of America.
That's why I say you are simply playing with words. Your story has nothing to do with politics, but everything to do with political parties.
Both of your major parties are on the right wing, politically. Your idea of "the Radical Left" seems to be what everyone else would call "normal".