We do not believe because we are chosen
We are chosen because we believe.
"Beloved, let us love one another, for love is from God, and whoever loves has been born of God and knows God. Anyone who does not love does not know God, because God is love. In this the love of God was made manifest among us, that God sent his only Son into the world, so that we might live through him. In this is love, not that we have loved God but that he loved us and sent his Son to be the propitiation for our sins. Beloved, if God so loved us, we also ought to love one another. No one has ever seen God; if we love one another, God abides in us and his love is perfected in us. By this we know that we abide in him and he in us, because he has given us of his Spirit. And we have seen and testify that the Father has sent his Son to be the Savior of the world. Whoever confesses that Jesus is the Son of God, God abides in him, and he in God. So we have come to know and to believe the love that God has for us. God is love, and whoever abides in love abides in God, and God abides in him. By this is love perfected with us, so that we may have confidence for the day of judgment, because as he is so also are we in this world. There is no fear in love, but perfect love casts out fear. For fear has to do with punishment, and whoever fears has not been perfected in love. We love because he first loved us. If anyone says, “I love God,” and hates his brother, he is a liar; for he who does not love his brother whom he has seen cannot love God whom he has not seen. And this commandment we have from him: whoever loves God must also love his brother."
How does "we are chosen because we believe" fit with "we love because he first loved us"?
“What then shall we say? Is God unjust? Not at all! For he says to Moses,
‘I will have mercy on whom I have mercy, and I will have compassion on whom I have compassion.’
It does not, therefore, depend on human desire or effort, but on God’s mercy. For Scripture says to Pharaoh: ‘I raised you up for this very purpose, that I might display my power in you and that my name might be proclaimed in all the earth.’ Therefore God has mercy on whom he wants to have mercy, and he hardens whom he wants to harden.
One of you will say to me: ‘Then why does God still blame us? For who is able to resist his will?’ But who are you, a human being, to talk back to God? ‘Shall what is formed say to the one who formed it, ‘Why did you make me like this?’’ Does not the potter have the right to make out of the same lump of clay some pottery for special purposes and some for common use?
What if God, although choosing to show his wrath and make his power known, bore with great patience the objects of his wrath—prepared for destruction? What if he did this to make the riches of his glory known to the objects of his mercy, whom he prepared in advance for glory—even us, whom he also called, not only from the Jews but also from the Gentiles?