Your harping on an unreasonable burden of proof to crutch your weak position. There are barely enough homeless count surveys done to determine a denominator, ergo it's unlikely any hard evidence exists. I speak from personal experience. Do you have statistic to back up your counter claim? Admit it by nature (die to the laws generally criminalizing homeless lifestyle) the majority of homeless people are criminals. 

Where you live and what you do is entirely relevant as it speaks to the frame (or lack thereof) that you approach the topic with. I for one am not afraid to admit where I live, along the Chester creek trail system. I've had multiple petty thefts from my property, defication and illegal dumping on my property, and countless drunk and belligerent homeless people accost me and families around me while using the trails or even walking in front of my house.