I care not whether a politician "cares" about me or not, or whether they live by their proclaimed values. What I do care about is how much are they interfering with my life.
As useless as Republicans are, they generally do not interfere with what I want to do. Democrats, on the other hand, do.
Obviously Rinos are in the same boat as Democrats many times in terms of messing with my life. So I really do not win even if I vote straight Republican. Still, the lesser evil is still usually less bad.