And really, I think that is what this life is all about, God is giving every man the choice whether to love him or not.
Does he give those who have never heard the Gospel a choice to love him. It's clear that the Lord doeesn't reveal Himself to everyone -- but to certain ones. "To whom has the arm of the Lord been revealed?"
He does not force himself upon anyone.
Calvinists don't believe that. That's just the Calvinist caricature made-up from your imagination.