Confirmation bias here but I really believe a Bohm for Williams trade is close to be fairing for both teams. Will the Phillies do this? Probably not as I think they value Bohm more than a closer. I believe the Brewers would do this trade as I think they are comfortable with who they have in the minors and who is already on the roster to replace Williams spot in the bullpen.
It is the Phillies side of thing that is questionable. How much do they value Bohm? Do they think he is a 3B or do they think he is a 1B? If they think he is a 1B then there really isn't much room for him on the Phillies roster. If the Phillies trade him would they prefer someone like Williams or prospects? I think they would go with someone like Williams (MLB veteran) considering where they are at as an organization. I don't think a prospect package would be all that enticing for the Phillies to trade Bohm and if other teams see Bohm as a 1B and not a 3B then his value drops a bit. He goes from $15-20mm in excess value to about $10-15mm in excess value. This is taking into consideration defense at 3B is far more valuable than defense at 1B.
I am skeptical that the Phillies would do a trade like this but they really do need some bullpen help late in the game and they have the budget to resign Williams if they wanted to. Even with that I think they go another route if they trade Bohm. Though trading Bohm will all depend on where the Phillies think his best spot defensively is at. If they think he is a 1B I expect Bohm to be traded as they have Harper at 1B already and already have two DH candidates in Castellanos and Schwarber. It is just really hard to put Bohm at 1B for the Phillies when they already have a better offensive option with Harper and have two just as good or better DH options.