He is a Calvinist, but no Calvinist would reject Sola Fide; it is one of their basic principles.
So far as being selected by God, even free-will Christians believe that. "Those He foreknew, He predestined."
Right, but God knows who is going to finish 1, 2, and 3 at thr 3rd race at Santa Anita this afternoon, because he is not bound by time, he knows the future, but that does not mean he fixed the race.