Can a husband forgive his wife for jail time when she lied about the incident and they have children and now this is on his record?
You need to consider your wedding vows. Did you vow something along the line of "for better or for worse"? If so, just how seriously you take those vows will determine if you can forgive.
This is yet more problems with the incredibly massive legal system. It's based on the words of 1 sex.
The answer to the question is No. Dump her.