The 85 1.2 L is a truly remarkable lens. It is quite bulky, and focuses slowly. The focusing unit gets a bit "jittery" when it gets very close to the correct focus, and starts "fine tuning".
It is so conspicuous, at normal shooting distances with the bayonet lens hood, that once, when I was doing candid street-shooting here in NYC, a subject spotted me and accurately exclaimed: "Damn bro, that is a BIG LENS!! It's like I'm looking into a TV SCREEN!!
But it is amazingly sharp, even wide open. It is better at 2.8 to 5.6 than, say, 1.4 - 2. But I don't know of any other very high speed lens that is that good wide open, including the 50 1.0 L, which is noticeably less contrasty and sharp at the widest apertures (I haven't tried Leica's Noticluxes).
Canon's 85 1.2 is even sharper at the widest apertures than Nikon's very fine 85 1.4 (which weighs almost a pound less). This surprised me somewhat, because the first auto-focus version of the 85 1.2 L I tried years ago, on film, was not particularly crisp.
Apparently, it was a bad sample. I've tried two samples of the 85 1.2L recently, and both were superb. The front optical unit of the lens does have a disconcerting tendency to unscrew part way out of the focusing unit, if you apply a fair amount of torque when tryng to remove a stubborn filter or screw in lens hood. You can screw the unit back into place and it seems to function fine then.
The Canon does appear to have a slightly "harder" looking rendition at the middle apertures than the Nikon. You may prefer one or the other.
The 135 2L is very close in sharpness, but has a slghtly different "look", not attributable solely to the flatter perspective with the longer lens. I think the transition from in focus to out of focus is somewhat more pleasing with the 85 1.2, and I also prefer the character of that lens' bokeh to the 135. The 85 1.2 is truly one of the best lenses around for bokeh. To me, the 85 1.2 also looks a little "harder" in acutance and micro-contrast than the 135, but these differences, if they do indeed exist, are small.
Despite the 85 1.2L's distinctive mechanical personality, and the relative age of the design, the only optically finer lenses made today may be a few of the more exotic lenses from Leica (such as the 90 Apo-Summicron) and perhaps a couple of teles from Canon, and probably the discontinued 200 1.8L.
Regards,
Tony