You will not be replaced as your kids' father. You are the one who is always there, consistent and steady. The relationship between your wife and OM will eventually end, and who will still be there for the girls?...Jarhead. When the girls need guidance from an adult, who will they turn to?...Jarhead. When the girls need a parent who will say no, who will do it?...Jarhead.
It may not be a very sexy job, but it is an important and honorable one. Do it well because your kids need at least one grown-up parent. When your girls have kids, who's example will they follow?...Jarhead's.