Feelings on spouses children that aren't yours!

Jaelynne
Ok SO my situation may be different than most. Long story short: 
My husband got a girl pregnant and i met him when she was only a few weeks into her pregnancy. They were never together, but he always planned on being the child's father. 
The girl became a little crazy to say the least, and decided if he wasn't going to be with her, she didn't want him to be apart of the child's life either.
The child is now 14 months old, and my husband has yet to even spend time with her or meet her. he tries to see her and even send her gifts and neccisities. But the mother of the child refuses to let him be a part of the child's life. 
(Side note: if I was in my husbands place, I would have taken her to court a very long time ago instead of missing out of my child's first year of life and more)
(Another side note: I found out a few months ago I can't have children, and after trying for a year, my husband all of a sudden has been more actively then ever trying to see his child.. Which I think is an act on the fact that it might be the only child he gets to have)
He still claims he wants to be a part of this child's life but doesn't take any action to- besides asking the mom occasionally if he can see the child (and always gets turned down) and then he just ignores it and tries again later.
Is it wrong that I hope this whole thing just disappears in time? it's been nothing but drama and all I feel is that it's so bad for the baby! she needs a stable life and not so much back and forth games. 
Has anyone been through this?! I feel guilty often that I want nothing to do with the situation..