I know that you are not suggesting that you move… but just in case. Regardless of whether or not he’s an alcoholic, if you leave the home and take your children, he can get an order that you return the children.
So you cannot afford to pay rent anywhere but you want him to move out and pay rent on a place for you and rent /mortgage for your current home? How do you intend to pay for a place to live once your divorce is final? Do you have a job or are you looking for one?
Where does he plan to live after the divorce?
The only way you can have him removed before a judge orders one of you to move is for him to be violent, you call the police, etc. (Do not construe this as me suggesting that you make a false report as that is not acceptable at all.) If there is a problem than talk to the people who handle help for victims of domestic violence.
Since you cannot afford to move and he does not want to… you’re stuck with the current situation for the time being. One of you can move out of the bedroom for sleeping at night. This is not unusual for people to go through.