So those in favor of non-Orthodoxy being okay are similarly in favor of the father being Mechallel Shabbos in my example? You said he could’ve gone to a kosher restaurant but you raised no objections to that it was on Shabbos.
And given that there’s no kosher restaurants open on Shabbos, which is the only day he doesn’t work (he works Sunday through Friday) and could take his mentally ill daughter out to eat, surely therefore you’d be okay with a non-kosher restaurant given the circumstances.