If you haven't made a decision yet....
I own both a 70-200 2.8 (actually 2 of them, one Canon vii, and one Tamron) as well as a 135 f2L, and use them both frequently. When doing outdoor portraits, I will choose the 135mm 95% of the time. It really has a look that the 70-200 can't give, not to mention it vs an f4! People have mentioned having to use a higher shutter speed then normal, umphotography mentioned up to 1/250. I need to go even higher! I typically think I have a pretty steady hand, but I need to use my 135 at 1/400 to get consistently sharp photos. I really don't know what it is about this lens, but I just don't get consistent results even at 1/250. Pretty good keeper rate, yes, but not good enough.
Having said that...I much prefer to use my 70-200 during the ceremony and reception. I have less room to move around inside, so the zoom is invaluable. Plus I can shoot at 200mm at 1/40-1/50 and get sharp shots (as long as there isn't much subject movement of course).
Obviously I wouldn't want to live without either of them, but if I had to ONLY have one...it would be the 70-200...maybe 