Cool it with the doublespeak. If you don't let them say NO you are helping yourself and not them. This is hardly the first time I have seen calls to "get them help" when really it's all about getting rid of undesirables.
> because they refuse housing
That too should result in us investingating why they refuse that housing rather than forcing it (or worse) upon them.
> They are mentally ill and not competent to make these decisions.
And that kind of thought has lead plenty of abuse.