Note that Paul is speaking to saved people.
The 'work of faith' is faith at work (James 2)
We are to bear fruit by using our faith in our Christian walk (Gal.5).
As for Phil.2, that is talking about God working from within you to form Christ in you, the very thing we are Predestinated to become, 'conformed to the image of Christ'.
Our responsibilty (choice) is to yield (Rom.6) our will, so God can work in us.
We will be rewarded for our 'works' at the Judgement seat of Christ (1Cor.3).
Your view is pure Roman Catholicism, whether you agree to see it or not.
God ordained the elect from before the foundation of the world, based on nothing in the individuals themselves, based solely upon His good pleasure. Or else our righteousness saves us. And Scripture clearly says it doesn't.
If God saves men on "foreseen" faith, they why does he go ahead and make someone anyway whom He knows will not "choose" faith and who will burn in hell? Doesn't seem like much of a "choice" to me.
That works for me. Ephesians shouts it. God decides who goes to heave; we don't. If we had the last yea or nay, we would be the final arbiter to our salvation. "ye shall be as gods..."
Read some more of the Institutes, not just an Arminian commentary.
8~)
Gotta go. Can't play today. Enjoy the weekend.