People do have the RIGHT to choose, whether they want to be vaccinated, unless you're suggesting that we should have a Police State and everyone gets marched to the vaccination chambers?
People have the capacity to think and decide what's in their best interests. Perhaps you've been indoctrinated to the point that if you get guidance from CNN, it will compel you to do whatever they tell you, but all the people I know on the Right are more independent thinkers and won't march in lockstep.
One of my sons and one granddaughter have both had Covid, so they haven't been vaccinated. My other son & granddaughter and I have been vaccinated. Sorry to blow a hole in your well thought out(?) theory, but ALL of my Right Wing friends have also been vaccinated.
I guess grand sweeping generalities aren't as reliable as you would like them to be.