I ended up getting a new stem. I figured I'd try that before I filed down the tube. Well, so far so good. I got rather lucky, as I snipped the stem one time and got it right where I wanted it. Any shorter I would have been shortening the tube anyway. The wind/set transition could be smoother. However, since it's my own watch, I'll just live with it.
The watch is running now, and seems to be keeping good time over the past hour or so. Unfortunately, I did leave a little of my signature scratch on the dial up by the one. I was putting the case over the movement to protect the dial and let go of it too early. Figures, right? If the watch really is fixed this time, I'll be happy, as I have very little into it money-wise. Time-wise well, that's another story,. Thanks to all for contributing opinions, tips, etc. Cheers.