Only in the Reformed paradigm. In the Apostolic paradigm, God gives men grace (objective salvation), but those under grace are still judged based on their deeds in faith, disposition and intent (subjective salvation).
God has already judged all of us for the latter, not because He forced us to do anything, but because He sees what we have done at the end of our lives.
Thus He chooses not at random or by being partial, but by foreknowledge of what we will do with our blessings and how Christ-like we have become under grace.
This sounds like you are saying that God's adopted children have the same essence as God,/I.
We can become like God by grace, but not in essence.
But this REALLY isn't God making any sort of choice at all, is it? Rather, this is God being a rubber-stamp yes-man to the power of men to dictate to God who will be saved. Here, God just signs the bill of lading for goods received. If He graces all equally, then He makes no choices, only men do. God just makes the delivery to Heaven. We believe that God has much greater power than this, and is strong enough in will to make independent choices for Himself. We don't believe in a God who passes the buck.