So, a bit of an update. I FINALLY have my MK22 operating pretty reliably, but it required some kitchen-table gunsmithing and a bit of trial and error.
Tightening up all the bolts on the rifle didn't really help my light primer strike problem. I followed the guide here:
http://www.ar15.com/forums/t_6_41/244302_.html to file down the firing pin so that it strikes the rim harder. I only cut 3 links off of the firing pin return spring, though I'm actually thinking of doing another 2 or so (and maybe doing a bit more filing) since I'm still getting occasional light strikes. (edit: Yes, I know that guide is for the GSG-5, but the firing pin block in the MK22 is the exact same design.)
One caveat to note that bit me in the ass when reassembling the bolt assembly -- be careful with the orientation of the 2 breech block return springs. They're tapered (wider end should be at the rear), and if you put them in backwards (at least the one on ejection port side), you'll get malfunctions caused by the spring binding against the rest of the assembly (in my case, the breech jammed 3/4 open after running 3 mags through and I could neither close nor open it with the charging handle.
Applying lube to all the moving parts rear of the firing pin seems to make things run smoother too; I used a "solid" lube (FrogLube paste).
I had my "fixed" gun out at the range today -- first 2 mags of CCI Stinger ran FLAWLESSLY... not a single FTF, FTE or light strike. Next mag had 1 light strike. Then I ran a bunch of mags of cheap Winchester 555 bulk stuff -- I ran about 15 mags worth of that stuff and it ran much better than expected (about 8 light strikes per 6 mags). I think with a bit more finessing of the firing pin and spring I might be able to get it to work perfectly even with cheap ammo.
I highly recommend stuffing the rear stock with batting as well. It REALLY helps reduce the "ringing" you get through the stock on every round.
It's been a hell of an adventure getting this thing to work reliably. Would I recommend this gun to other owners? Maybe. If you're willing to do a lot of (warranty-voiding) work yourself and deal with a lot of frustration... sure. It's a hell of a fun plinker, and it's uncommon enough that you get a lot of attention at the range -- it's definitely not a 10/22.

But if you're looking for something reliable out of the box -- definitely not.