Rig,

You apparently haven't the slightest idea of what the Progressive movement and/or the Progressive Party in the U.S. was & what their platform & ideology was.

Still, they were Republicans just the same.

No, they were not. TR had broken rather violently with the Republican party was a 3rd party candidate.

The right-wing-religious-wakkos were mostly Democrats

Not hardly. Sorry.

one can be "progrssive," it seems, going either way.

I don't have a clue what this is supposed to mean.