Notifying his nurse and getting a social worker involved is a good move Maria. They can follow up on your concerns and give recommendations to the family. That way it comes from a "professional" and not from you
Many elderly want to do it all themselves and do it at home. They have memories of horrible nursing home of the past... not the new bright memory units of today. Dad only sees what is there when he is at home. He doesn't have a clue what chaos ensues when he is not there. On top of that he doesn't have a clue how much better he will be if he doesn't have to take care of Mom along with himself. Mom will be better taken care of in a memory care unit with a regular routine than with her life being in turmoil with people coming and going. Talk to the social worker and ask her to sell the benefits to both Mom and Dad of doing this. If you need to do it "temporarily" to convince your parents this is the right thing.... then do so. Nothing is irreversible and if you give them a temporary option until they both improve health wise (and you know that is probably not going to happen) it is easier for them to accept than a permanent placement. Dad, let's just try this until you and Mom get better
Good luck and keep us updated on how it goes.... Hang in there because you are doing good things!!!