"MTG is very outspoken and has many supporters"
Possibly, I don't know who MTG is, but still not evidence that the "republican party", 75,000,000 strong, has felt whatever influence you are citing
"Also, which left wing extremists are Democrat influencers?"
You tell me, who are you influenced by? Who convinced to to vote for partial birth abortion, open borders, rising crime, the energy crisis, record inflation, weakened military, the abandonment of 1,000s of American citizens and allies behind enemy lines in Afghanistan, there to have their heads cut off? and so on