This here exactly should be the goal of all those "fiscally responsible" Republicans: homeless sick dude is healed and housed and counseled until he's back paying his damned taxes and a productive member of society again.
People who can't cope will need a different programme, but still a live-in deal with counseling and a focus on the fundamental needs.
It just depends on whose finances they feel responsible for. If it's wealthy people then yes they are fiscally responsible to make sure they get more tax breaks.