Maybe just a couple more things: From the pic you posted, it looks as though you've got a bunch of "overhang..." The work area is pretty far away from the chuck, and this can cause the work to spring a bit. I think the rule of thumb is 3:1. I.E. for a 1" workpiece it shouldn't be more than 3" out. Closer is better, but don't have a "crash" and run the tool post ot cross slide into the chuck! You might want to try supporting the right side of the piece with the tailstock center.
Next, have you checked the headstock bearings? To do this, set an indicator up on top of your workpiece and "lift" (either by hand or with a piece 2x4 as a lever) and see how much deflection you can get. I bet in your lathe it might be a bunch.. maybe as much as .002" or so. This can really play with your overall surface finish as well as with your threads. The heavier the cut the more it will have effect. And threading places a lot of deflection pressure on the setup... moreso than turning usually. When fully warmed up, this play wants to be maybe .0002 to .0003. With really high quality bearings it can be less of course, but the idea is to minimize it for your machine. So check your manual for how to adjust your headstock bearings. I bet they've never been touched.
Lastly, you want some "side rake" on your (HSS) tool. Looks to me as though it's flat on top and this causes the tool to "hog" rather than cut. With nice tight bearings this might not hurt much, but if your bearings or anything else are loose, it will just aggravate the situation and cause roughness and chatter. The angles will be different from a carbide tool. Remember: Carbide "hogs" and HSS "cuts."
Oh, and Alinwa: What g.s. school and when? I went to Trinidad from '73 to '75 and there was a guy there named "Al" and he was from "WA." and shot on the USAR team....