My parents went through a particularly nasty divorce. To make a long story short, Dad participated in an affair - when the girlfriend found out, she did not take it well and began harassing my mother (phone calls in the middle of the night, stalking, driving up from their house to deposit clothing in her front yard, et. cetera) until their divorce was finalized. We do not have a relationship with each other, but my father and I remain close.
We have four months to our wedding day and are finalizing our invitations. My mother and family on her side (as well as my father's brother and his family) do not want the girlfriend at the wedding - however my father and other family members expect her to be invited. To top it off, my father remains wishy-washy on his stance; when they are on good terms he expects her invitation, when they are not he does not.
I am torn on what to do, and would appreciate any suggestions.