Is it common for surgeons to have scalpels at home?

Sure. At one time every doctor had a medical bag with scalpels, sutures, basic medications, etc. that they carried with them everywhere they went. I think it's still pretty common (though maybe not as common as it was in the days when doctors made house calls).

Unfortunately I'm not finding anything via Google to back me up, but in my experience, yes, it is.

http://www.amazon.com/Scalpel-Blades-10-Box-100/dp/B0008FUQ2... It's not like it's at all expensive either.

Every single surgeon, nurses, PAs, PTs and med students I know does (and since my wife is in the business, that's a lot).

She's an internist, not a surgeon, but my wife has no shortage of simple medical equipment in our home.

A friend of mine who's an ER doctor removed a mole for me at his kitchen table with kit he had in the house.

And suture packs, too.

I'm a developer, but I don't go home and simulate programing. You seem to be answering a different question: is it common for professional pilots to fly recreationally?