I agree completely. SLC did fairly well when the Olympics were here, and I've always felt like we should host it again because we already built a lot of the infrastructure for it. Plus, many of the facilities are still used extensively. For instance, the speed skating rink is always in use and hosts competitions (including world championships) all the time. The ski jumps are also used year round for training purposes, and many other Olympic athletes come here to train for the facilities.
I went to the ski jumps this past winter to check out the museum there (which was cool), and while on a tour they guide did say that SLC is preparing a bid for another Olympic games. I think he said 2026, though.
EDIT: yeah, looks like 2026. No American city is bidding on 2022. 2026 remains a possibility, though some of it will depend on who gets the 2024 Summer games.
There's also a web site dedicated to the 2026 SLC bid.