That is nothing that we can decide for you. If you can not trust her though it sounds like you will always have a problem. It would be better for the child if the two of you can work things out in a freindly manner and stay together. However, if that can not be done and you are only doing it for the child and arguments are occuring all the time, that is bad.
You know why divorce costs so much? Because it's worth it.

I have no expirience in this, I just remember reading that once.