I'm just looking for ways to make her realize that he's the short-fat-integrity-lacking dips**t that he is.
Or, should I just ignore it, like it doesn't bother me.
You make him look bad by being the better person.
Be a great person for yourself, improve yourself for yourself and have the attitude of not caring what she does but you also set boundaries and let her know without being an a$$hole that her behavior isn't acceptable.
If she continues doing it, you know that she doesn't value the marriage/relationship and if she isn't willing to do anything to save it.
Why would you want to be with that kind of a person? Start limiting your contact & communication with her. Cheating is never an option, if she cheats on you, she needs to know she is risking the loss of her spouse and that is something she will live with.
Once you can answer this question to yourself truthfully, you have more ability to do what is necesary with your life.