Replying to Upgrading My DSLR For Photography Only?

Hey NS, I currently own a canon 7d and have been using it for about 3 years. I strictly do photography of many action sports, landscaping/scenery and sometimes weddings. I shoot photos for my school, friends, and clients. I am currently looking into selling and upgrading my camera to something higher in the canon line because I feel that I need faster focusing in situations, better image quality, FULL FRAME, and a better built camera as well as other small factors. Many people say that the 5dmiii is the best upgrade from here, and I am starting to agree with them but I was wondering about the 6d as the 5dmiii is a bit of a large price jump. (I do have the money though) So I guess should I go with the 5dmiii or the 6d for strictly photography? I'm really stuck and I need some help backing up my thoughts if i'm going with the 5d. This camera will be a big investment and I don't want to make the wrong decision whether it's going too cheap and not being happy, or over spending on something that I don't need.