Given that God is infinite, and that the universe is also infinite... would you like a toasted teacake? More seriously, though, I suspect the barrier to discovering (evolved) life is simply distance. "Rare" is no real barrier in an infinite universe. I've got no doubt life is out there, but it seems unlikely it's right on our doorstep. We'll have to travel some distance to get there and as far as interstellar travel goes, we're very much in our infancy. I'd like to think we'd find intelligent life out there before I die. Unfortunately the chances of that seem remote; as far as humanity is concerned, the number of known intelligent species seems to be firmly rooted at 0 for the foreseeable future (it was 1, but then social media firmly dispelled those delusions of grandeur).