But God does! If he chose to "befriend" his elect in eternity, then how could he not also freely choose to not "befriend" the non-elect? Consider carefully this passage, please, and it's logical implications:
Because He didn't chose to "befriend" us, He chose what to do with us because He knew we are His friends. That's what predestination is. It's very simple, From God's omniscience He saw who would believe and who would not. He then separated the believers from the unbelievers (in His mind). Now, (looking at the believers only group) from his knowing us (My friends) beforehand (foreknowledge), He chose when and where to place us. You and I got placed in Christ, King David got placed in Israel, Adam the Garden, Noah the Ark etc. etc. Each placement has a particular purpose for God's plan to be worked out according to His will.
But God does! If he chose to "befriend" his elect in eternity, then how could he not also freely choose to not "befriend" the non-elect? Consider carefully this passage, please, and it's logical implications:
Rom 9:14-15
14 What then shall we say? Is God unjust? Not at all! 15 For he says to Moses,
"I will have mercy on whom I have mercy,
and I will have compassion on whom I have compassion."
NIV
So, since God freely chooses, according to the counsel of his own will (Eph 1:11), who will be recipients of his mercy and compassion, then the opposite must also be true; that is to say, God must also freely and intentionally and deliberately determine who who he will pass over, i.e. on whom he will not have mercy and compassion. Very clearly, God does not universally bestow mercy and compassion on all, in terms of salvation, otherwise the entire world would be saved.
Ah yes, the potter's wheel. Guessing you have never done pottery.
That is your assumption (what I bolded). The problem is you assume this passage means a division between receiving mercy and being given no mercy whatsoever. God is merciful. Everyone receives mercy and grace, because this is who God is. It's a matter of how much or how little one receives. When speaking with Moses, it was a matter of Moses being given an extra dose of mercy and grace. (Ex.33:19) Paul is not saying there are those who receive mercy and there are those who receive no mercy. He is saying, under the pressure of the potter's wheel, the clay responds to His touch. Some clay resists and some clay yields. It's the nature of the clay and God will do with it as He sees fit.
No-one believes against their will.