How difficult is your co parenting with the other parent?

I mean i cant co parent..I cant see another woman in my daughters life..Her father is such a scum of the earth and lies so much ..Had another woman in her life who she called mommy meanwhile they werent together..Im not a crackhead or anything i have legal custody and for the last 2 years of coparenting we have been arrested ..so many arguments and no communication. Theyre times where we are really good but once either person tries to move on it is filled with jealousy and hate..I need some advice.