This sounds like it's based more on ideology than evidence.
> Enact consequences for those that do refuse housing when available (ie, banning homeless lifestyle).
You're saying that if someone homeless turns down free housing you want to arrest them? The obvious question is - where's the free housing you're talking about? Homeless shelters don't even have free beds, I'm pretty sure that the homeless would take a better indoor place to sleep if there was one available.
> Arrest illegal aliens that are making the lack of housing even worse.
I'm sorry, you think that migrant farm workers being paid less than minimum wage are the reason Google engineers have to get roommates, or why single family homes start at $1M and up? I really don't get it. Migrant workers aren't buying real estate.