"This has resulted in 20% of the residents of the Whiteaker being homeless people."

That might be confusing cause and effect. Whiteaker has long been one of Eugene's poorest, but interesting, neighborhoods. The rest stop camps, and Opportunity Village, take people off the street and help them to stabilize their lives. They're probably a net benefit to your neighborhood. I think your real problem is all the desperate homeless people who are not sheltered.