At request of OP, I'll state my opinion shortly (oops got a bit carried away) in this thread as far as it is relevant to this thread:
Concerning the LD MkII: About a year ago, I wanted to find a nice tube amp for my Senn HD600s. Since I lived in Hong Kong at the time, I was able to audition quite a few amps, but thought that Chinese made amps would give me the best bang for the buck, while allowing me to test the build quality as well. Through my research here, I thought that I was basically looking for the LD MkII. At the shop, I restricted my choice (and my budget haha) to the LD 1+ (don't confuse it with the Mk I, which is a portable amp), the MkII, the MkIII, the MkIV (and IV SE) and the Darkvoice/La Figaro 332 (which was significantly more expensive at maybe 350-400 USD?). I didn't think the I+ offered any kind of improvement to the CDP (on the contrary possibly even), which admittedly probably already had quite a decent internal amp. The MkII offered better sound quality - cleaner sound and tube warmness, which I like :), but the build quality put me off a little. Admittedly, it was a demo model, but I think I remember a little paint chipping off and since I do consider aesthetics (which could be a possible indicator of internal build quality???) to be somewhat important, I was a bit disappointed. The LD MkIII on the other hand gave me the improved sound quality, but also IMO better soundstage and imaging and solid build quality. Even today, it looks just the same as the day I bought it although the volume knob may have come loose a bit. Mind you, I still have the old revision without switches for compatibility with other tubes but jumpers (I think). The Darkvoice (as I think it was called that time) was even lusher and more mellow, but I just couldn't justify double the price compared to the LD MkIII (the Darkvoice would have been more expensive than my HD600 :P). The IV I thought wasn't that big of an improvement to the MkIII and the IV SE was similar to the Darkvoice (little bit more detailed, but the Darkvoice was "tubier").
Overall, I thought the MkIII was the sweet spot in terms of price/performance ratio of the LD line-up and bought it for that reason. But as always, YMMV and that was my opinion a year ago and not even a fresh opinion/memory at that.
Concerning amps in general and amping with the HD650: In general, I am wary to suggest buying amps unless one knows his/her preferred sound signature and headphone since this was the "mistake" I made: Looking back, I would have been a lot happier with a Denon D5k instead of the HD600 and LD MkIII and both cost around the same, even though this review stated that the HD600 and the LD MkIII have good synergy: http://www.head-fi.org/forum/thread/309855/review-of-the-little-dot-mkiii-tube-headphone-amp-pre-amp (I agree in general by the way). My source output is a Xonar DX, which is a decent PC soundcard. At this point two caveats: the HD650 is a different phone, no matter how comparable it may seem to the HD600 and thus my opinion is strictly reserved for the HD600. The 650 is supposedly harder to drive. This leads to my second point: Harder to drive phones benefit more from good amping and compared to plugging in my HD600 directly into my soundcard, the tube amp adds a bit better soundstage and imaging as well as tube warmness which I like on the HD600 (and making the bass sound somewhat less punchy/analytical, i.e. Beyer DT880 bass if anyone knows what I mean haha) and many people will probably require for the HD650. BUT: the difference is only apparent in direct A/B comparison. If you let me listen to my phones amped or unamped on different days without me seeing, I would unlikely be able to tell the difference.
Concerning the HD650: I have only heard the HD650 with decent tube amps in the price range suited to the 650, namely the La Figaro 332S and 339 and also with the Beyerdynamic A1 (just because haha). From my impressions, the 650 can do amazing things with the proper choice of music and source. Otherwise, they do sound somewhat similar to the HD600 (fanboys don't flame me for that). So my wager is that the 650 may indeed be harder to drive, but also that a lot of people who end up with the 650 feel that it would only shine in comparison to the HD600 if coupled with a really good amp. Whether the same budget could be used to find a better combination is an altogether different question..
So, in conclusion, to answer OP's questions: I think the LD MkIII is a better choice of an amp than the MkII, and worth the 60$ more if you really want and need an amp and if the HD650 are definitely your "type". Otherwise, I'd recommend listening to more and other headphones, you never know... you might find *your* headphones somewhere else, as I did with the Denon D5k. Too bad I lack the budget at the moment..
Edited by feNcheL - 7/27/11 at 11:00am