The real problem is that one can't actually steal a patent (or copyright). It's virtual property. And there is no closely guarded secret, either; quite the opposite: a patent is published openly as part of patent process. Downloading any documents from Lodsys and disseminating them on the 'net won't hurt them in any way.

Also, I doubt there are any interesting technical documents on this invention (or any other invention for that matter) on Lodsys' computers ;-)