I don't see a problem with it if: (1) you would have a way to carry your gear, (2) you have a safe place to keep the bike during the day so it wouldn't get stolen, and (3) fenders will fit.
Tires should not be a problem at all if your roads are decent. I commute on 25-28 mm tires regularly with no problems. However, I would not want to leave a $3K bike outside all day unattended unless secured with heavy duty locks. If you can keep the bike in your office or have another secure means of storage, that should not be an issue.
There are places where you wouldn't want to commute on anything other than a beater. However, many of us have commute routes and bike storage situations at work that make it very reasonable to ride a nice bike. None of my bikes are carbon, but I regularly commute on a custom steel bike that would cost well over $3,000 new just for the frame and fork (although I bought it used for a fraction of that price). I bike commute 4,000-5,000+ miles a year, and I enjoy it much more riding a nice bike.