You can be a radical stamp collector, or a radical Celtics Fan, or whatever...if you take the belief or practice to an extremely extreme extreme. Especially if you add in intolerance of others.
So you can be a radical feminist, or non radical feminist, and you can be a radical feminist who excludes trans women, and you can be a radical feminist who includes transwomen. Why not?
There is nothing inherently contradictory about any of that, in the way that being a "Jewish Nazi" or a "Black KKKer" would seem to be an inherent contradiction. And even then ...who knows? Right now in our Post-Trump world there are starting to be Hispanic neo Nazis, and Hispanic "Christian Nationalists" and "White supremists" -which would seem to me to be self contradictory. But dont seem that way to the folks in question (for some reason).