This.
Take care of your mom....first.
Also, Mac's advise is solid.
In Washington State, it isn't a crime to be rude, homeless or mentally infirm. Hence, it's almost impossible to compel someone to do something against their will unless you have a court order.
If you're headed down the path of institutionalizing him, gather facts and present them in a court of law.
Otherwise, you're spinning your tail and nothing will be accomplished except you getting ever more frustrated.