NO! This is 100% wrong. If you want you bike to be fixed gear without running a suicide hub you need a new rear wheel, or a Surly Fixxer for a cassette hub. You don't need a new chain if you get a 3/32" cog and you definitely don't need a new crankset.

Now, since your bike has vertical dropouts your choices are a little bit more limited (this is one of the carbon tube Treks, yes?) You can either run the bike single speed with a chain tensioner and your current wheel, or you can run it as single speed or fixed gear without a tensioner by finding the "magic ratio". This is the ratio that gives you perfect chain tension where the wheel sits, because you cannot move it in the dropouts. It can be a pain to find but is certainly not impossible. I've done it on 3 bikes now.

In good shape your 2100 is probably still worth about $300 on craigslist. If you're not attached to this bike consider selling it for one more suited to FG/SS. Maybe sell it to me I like those bikes quite a bit.