So His election comes after their choosing? Isn't that a bit like sending in your absentee ballot on December 2nd? And the "elect" chose out of free will, so there was no predestination (before the foundation of the world) involved, contrary to Romans 8?
Please read ahead one more chapter to Romans 9, and explain the potter analogies in the light of your foreknowledge-first-then-election claim.
What I said was that God's sovereign decisions were made based on His foreknowledge, as affirmed in the Bible, not based on some kind of whim. No sovereign, if he is worthy of love and respect, makes his decisions on the flip of a coin, but bases them on his knowledge.
Secondly, you completely miss the point of Romans 9-11 if you think Paul is talking about individual election. Paul is upholding that the nation of Israel (the physical nation, not "spiritual Israel" if you insist on the use of that term) is the elect nation of God--and indeed, if you look up and read Paul's OT allusions in their original context, it is clear that the fate of nations, not individuals, is the subject of each. God has sovereignly decided to set Israel apart from all other nations as His own. Furthermore, Paul goes on to show that the Church has no reason to be proud over Israel, though they had fallen and had many of their branches broken off, and he affirms that God would remove Israel's spiritual blindness and save the whole nation "when the fullness of the Gentiles have come in," as was proclaimed by the prophets of old.
Calvin's extreme predestination is based not on solid Biblical teaching, but on a flawed exegesis that starts with replacement theology, and then has to find some way to reconcile that theology with God's election of Israel in Romans 9-11. Thus, Calvinists hijack God's promises for Israel and twist them into a system that elevates God's sovereignty (which is not in question) over His love and His covenants.