The clear meaning of the statement about our spiritual birth is: Its not by inheritance (as the Jews were fond of thinking), its not due to our own efforts (as everyone is fond of thinking), nor is it even due to our own will (as everyone is ESPECIALLY fond of thinking...) its due to God.
Jesus saves.
Any modification of that foundational thought is a compromise of the Gospel itself.
We disagree on the order. We disagree because our theological frameworks disagree (calvinism vs wesley-arminianism.)
But the w-a position is also the biblical position.