the question is whether we believe it is us who chose God, or God who chose us.
In scripture, Christ is the Bridegroom, and the church is his bride.
Does Christ take his bride apart from her own free will?
How would that be anything less than abduction?
To answer your question, God strives with us via his Spirit, and then we either resist or submit to such strivings.
God is definitely the initiator, but we must consent of our own free wills.
We see a rather clear-cut example of what I'm saying here:
"O Jerusalem, Jerusalem, thou that killest the prophets, and stonest them which are sent unto thee,
how often would I have gathered thy children together, even as a hen gathereth her chickens under her wings, and ye would not!" (Matt. 23:37)
"How often would I have gathered your children together" shows us the will of Christ.
"And ye would not!" shows us the will of the people.
Can it get any simpler than this?