I don't think any of us can say there is a "normal" in any of this. The act of infidelity in and of itself should not be considered normal, yet many do since it happens so often in society.
If your focus is on whether or not your behavior fits in with the rest of society, your focus is in the wrong place. This isn't about you conforming to some standard, or responding the way most other people would. It's about you exploring what inside you caused you to feel this was the right response to the situation, and addressing those gaps.
The raw answer to your question is I don't believe most people who realize that an affair was the wrong thing to do see having more affairs (blessed or not by their BS) as being healthy.
Once you are clean, sober and no longer swinging, go back and reread this post. My bet says you will question why you felt this way at this point in time.