And you're still left with the clear fact that man's "foreseen" faith is what causes God to choose him, so the cause of the choice is not in God, but in the man. You make God's choice a reaction, and not an action initiated by God from within Himself, Who is the First Cause of all that is.
No, because man would have nothing to believe in if God did not offer the plan of salvation in the first place.
That is why Calvin stated that faith on the part of man did not diminish grace