Yeah, the XE-2 may be superior in some ways relevant to my usage, but there's no way I'm paying the premium they command right now.
I may consider selling both of my other digitals, as you're quite right that I can run the K mount lenses on the X-E1. I would want to get an adapter and try it first, however. I do find the K-5 much more suited to longer lenses (much better balance), but I prefer the images from the Fuji.
As far as the LTM adapter, I decided to try one of the cheap ones first. As predicted, it allowed focusing past infinity. The two-piece construction of these adapters makes fixing it really easy, however. You simply loosen the screws, remove the threaded portion and insert a thin shim (I cut one from copier paper) between the two, then reassemble. That worked for me, but you might have to play around with shim thickness. Still, very easy to do and solves the problem completely.