OP, what I'm seeing from you is a defeatist attitude. Your main points seem to be that you want alimony and that it's a given you'll end up paying support and won't get custody of the kids. Take OG's and Isis's advice and get on the ball. Do things right, and this could work out for you. Mope around with a chip on your shoulder, and you'll be back in a year crying foul over the "unfair" decision the judge made.
She cheated. People do that. She's a rotten person. It doesn't matter. Drop the issue, and move forward with your life.