I know that these lenses are completely different, but I have the 35L and it almost never comes off of my body. I love it.
I shoot wedding, portraits, street photography... etc. etc. The 70-200 is great and all, I just never use it...
Should I sell it and get the 85mm 1.2 and then have the 35L, 85L & 24-70mm?
I'm open minded. Just looking for some opinions 
I'm shooting a 5DMKii & 1vHS.
It sounds like you figured it out but id like to weigh in on my thinking. First i have owned all lenses mentioned, the 24-70, the 50L, the 70-200L and LII, the 35, the 135, the 85LI. My style has changed over time i'd say. Some time ago i have sold all of them, sold the 85LI for the 50L to have the F1.2 and the focus speed. I have had the 24-70 and it was my go to workhorse lens for weddings. I rarely used the 35 because of the 24-70. The 135 is a headshot lens, while the lens was incredible in every way i never had the desire to find places to shoot where i could back up enough for the full body work. The 70-200 image rendering was amazing and it had that quick focus and flexibility i enjoyed about the 24-70. I sold the 135. For some time with weddings when trying to shoot primes and having way too many lenses i was swapping lenses out left and right at weddings meaning more chances to drop something or get a dirty sensor. The 24-70 on my 1dm3 and the 70-200 or 50L on my 5d handled my wedding work for a few years. I got many many great images with the combo. Before this season started I got it in my head that i want dreamier images and im going to shoot wide apertures. I looked at my data and a large percentage of my shots on the 24-70 were at 24 on my 1dm3. So i bought a 24. Then i thought man, i want 2 5dm3's which would mean the effective focal range of the 1dm3 at 24 was almost 35. I was thinking, what did i do, i shoulda got the 35. Since i couldn't afford another $3500 to be dropped on another 5dm3 I decided the 24L should go on the 1dm3 and the 50 on the 5DM3 and I shot that way all this year. On occassion i shot the 70-200 for the bokeh and focal length, 200mm at F2.8 is pretty darn nice! For me the 70-200 was never meant to be a wedding lens it was my sports lens. By far focus reliability among all lenses goes to the 70-200 either version. Well I unloaded a 5D, my 24-70, 50L, 1.4x extender for the 70-200, the 15mm fisheye this week and i have been looking at 85LII images for the past couple months and I decided to go to the store the other day and look at the 85 sigma and the 85 Canon version. I knew of course focus would be slower but like someone mentioned and like my version ! of the lens if you prefocus or you subjects are all within a 5ft range of each other focus is decently fast. Although i have read so much about the Sigma and have seen samples when in the store i didnt judge my decision on price i decided on how my test images were looking and the 85 ruled the sigma in my opinion. the sigma had tons of purple fringing on black text the canon not so much. I understand there will be, thats the nature that this type of lens has.
All that to say the 5dm3 gets the 85LII and the 1dm3 gets the 24L and the 70-200 when needed. This means things are super simplified. I think my experience has allowed me to shoot more prime work these days. I will miss the 24-70 most so maybe that is a future purchase, because the 24-70 is very good for shooting marathon finishline work.
Ok that's a lot but philosophy and having things played out tends to help people maybe consider what works best for them. I vote go with the 85LII. I am thinking since you don't use the 70-200 much i agree with Nuero, sell it. I for one find mine to be indispensable for wedding ceremonies where i have ot stay back and yet get a better look at the ring exchange and the kiss. I also find it useful at toast so i can get out of peoples way. Perhaps you can get most of those things with the 85 but a crop body may help with that. I could probabaly go on and on but would love to hear about what you land on and when you get it.

I am stoked because my 85LII locked on the focus everytime even at F1.2. Love it!