Hi Sally,
Glad your weekend was not bad. Hope your shoulder is really improving.
For my 2 cents:
If FIL had allowed an aide to be hired, you wouldn't have had to bathe him. People can be so pin-headed! As Martha said, nurses and LPNs and aides do that sort of chore millions of times a day worldwide.
As for the other things that "friends and family say", I agree totally - except with the move out one. I guess that's not totally after all!

You and your family can stay as long as you want to after FIL and MIL have departed.
Say to those friends and family, help me!!!! Get the ducks in a row for me. Do the paperwork for their admission to the chosen aged care facility. Let all go together to talk with FIL and tell him what is about to happen (do not ask!)....this week!!
You are not "dumping a dying man". You are not leaving FIL in the wilds and walking away. You are turning his care over to trained medical people. He's moving to a place they can give him the 24/7 care he needs. They have employees who work 8 hour shifts so someone is always available. At your house, you're it and that isn't working. He requires toooooooo much for one person to handle.
You would have counseled your client-caregiver to get help long, long ago. As you look inward, listen to you education, and give yourself permission to accept the satisfaction of a job done well and done with care and kindness, long past reason. Listen to your knowledge that 5 people who have lots of life ahead should not hesitate to say to this man your FIL has become, enough. Then your attention can return to your family and yourself, and your course of study. You can help many future clients with the techniques, coping mechanisms, and boundaries you've learned in the last year.
As for the here and now, let yourself heal. Enjoy the coming autumn.
Dream on!
(((((hugs)))) Barbara