I'd be tempted to dump the 5DC and upgrade to the 5D3, as well as add the 70-200 2.8L non-IS. The copy I had was ALMOST as sharp at my 70-200 2.8L ISII. If you're shooting sports and birds, IMO, you need something with a better AF system than you currently have. AND, I'd also consider the 400 5.6L over the 100-400; basically the same price, or a little less, and a lot sharper. You'd most likely only be using the 100-400 at the long end for shooting birds, so you wouldn't be losing much.
That is probably going to be my next step but I am probably going with a 1DX(that will have to wait till next year though). The 400 5.6L has been a serious consideration as well. I actually dont use the 5Dc all that much anymore. The 60D is my primary camera for the stuff I use unless it is landscape.
If you are going to be shooting football under the lights, you will really want a 2.8 aperture lens to freeze the action. And maybe I just shoot in the worst gyms on earth, but ideally I prefer to shoot at 2.0 for wrestling.
Are you going to be on the sidelines for football or up in the stands?
My solution: buy used copies of the 135L (~$800), 200 2.8 L (~$550) and the 300 F4 L (~$550). Use the 135 for wrestling and enjoy the benefits of the ultra-fast AF and low-light prowess. The a 200L for football--especially on a monopod--will get you pro performance on your 60D. You can use the 135 on your FF body for sideline candids and closer-in action. The 300 F4 you can use for CC, birding, and football for awhile in the first half of football games.
Take your leftover funds and trade up either your 5Dc for a 6D or yor 60D for a 7D--or both, if you are so inclined. The 6D would be good for wrestling and on your 2nd body at football games. The 7D would be an incremental improvement for football but an even bigger one for birding.
You won't be able to get everything you want your of just zooms, IMO, but you can get there using primes. But you have to be committed to it and be ok with the trade off of flexibility with zooms.
The football will be during the day, my sons are both younger. Football I have not been able to really freeze action consistently so I know my current options are poor. I can get really close to the action so a 70-200, 200, or even the 135 will work especially with the 60D. I have a few primes as well and have no issues using primes. I just have no long ones yet. The biggest concern I have is that catching action at the right time will require more preplanning but that will also make me a better photographer.
I do plan to upgrade the camera but I hate to do middling upgrades. I like to do large ones that will last me years instead of wishing I had made the big move. I would have alot more and be able to do all my upgrades but I just bought a trip to Rome and Paris for the wife and me.