Shame is a terrible motivator. Instead you'll probably get even more stratification and ghettoization, while the "haves" operate in their own bubble. You have concocted a perfect setup for a cyberpunk dystopian future, and honestly it would make a pretty good plot.

I'm imagining the urchins living in identical concrete boxes that make up the under-city dwellings, lining up in droves for their government pants.