hi and welcome-
i see two problems:
1. your wife's excessive drinking
2. your finance tied into this house with no deed in your name
it is possible that your wife is not an alcoholic but just drinking to numb herself. if that is true, then if she was removed from this stressful, emotionally damaging environment, she might heal.
so, second problem of co-habitation with her father. is it possible to simply ask him to buy you out? you could ask him. can't see any harm in that. you don't have to give your reasons...just merely state that you want a bit more privacy as a couple and you need the money.
perhaps there is equity in the house that could fund him buying you out?
it doesn't sound like a healthy environment for anyone, especially your wife. i would hold judgement on whether she is an alcoholic or not until she is out of that enivronment.
naive