Are the homeless there because of the shelter, or is the shelter there because of the homeless? I'll bet the homeless roamed that neighborhood even before the shelter, and will continue to do so even if its moved. The Homeless are a part of the mix in every major city in the United States, and believe me Salt Lake certainly does not share the same burden as most other cities!
Many of these folks are not just "down on their luck," they are mentally ill and cannot just check into Sunrise Metro and "get their lives back on track." Imagine if you suffered from severe paranoid Schizophrenia,- you'd go nuts in such a place because you're suspicious of the system! This is the reason the term "chronically homeless" exists- and its not going to go away or be moved down the street. Start talking like that and we'll have to move the City Library too (or maybe you haven't noticed that the majority of peolpe reading books next to you are- yikes! homeless!)
Personally I liked the idea of a mounted officer for Pioneer Park. Not only is it a more flexible solution as opposed to a multimillion dollar renovation or Big Brother cameras, I think it would add to the urban vibe. If it didn't work, we could always sell the horse