Background Check - Fun and Free!

So I go out with this guy, have a very nice dinner, managed to get home without sealing the deal. Then I'm swapping stories with my friend Angie. "You're going to Google him, right?" She asks.
I suppose nowadays Googling someone should be part of the routine, like put on lipstick, nice undies, Google dude. But I never think to do it. Perhaps I just always assume the best in people. Perhaps I'm just disturbingly naive, as Angie chided me. "He could be married. Engaged. A felon. A sex offender. President of his local Plushie chapter." This is when I scoff and roll my eyes. "C'mon Angie, I think I have good instincts." I huff. She just looks at me, then starts calmly naming my exes and their various transgressions. "Fine." I stomp off and go online.

Is "outstanding warrant" really a deal breaker?