5D Mark iii AF system - necessary for hobbyist photographer?

Question

I take pictures of just about everything, including running/playing children. My biggest complaint about my current camera (a high-end point-and-shoot. Definitely time to upgrade!) is that it doesn't focus well on moving subjects, nor does it focus well in low-light conditions (or do anything in low-light conditions, really). I would like to purchase the 6D, but if it's going to give me trouble every time I try to focus on moving people, then it's not worth 2000 dollars. The 5D Mark iii apparently has amazing AF but, honestly, it almost seems overwhelming to me. My choices are a crippled AF or a complicated AF, and I'm not sure what to do. As a hobbyist photographer who often shoots moving subjects, will the 6D be adequate? Or should I buy the 5D Mark iii and just plan on spending a good amount of time with the instruction manual?

Answer 1

Wow, thanks for your advice, everyone! And you're right; money doesn't buy skill so I shouldn't waste an extra thousand as an attempt to make up for my weaknesses.
My camera is essentially attached to my hip; I take it everywhere and shoot anything that interests me at the time. However, I can pinpoint two conditions in which I spend the most time shooting. I photograph a LOT of events, maybe half of which are indoors with varying lighting conditions. I also enjoy taking pictures at night in the city - people and stationary objects/settings. I currently use manual focus for night and low-light indoor conditions (which is frustratingly difficult when people are moving), and I use a tripod and long exposures for most of my night pictures (which is limiting). Even then, the pictures rarely turn out as sharp and vivid as I would like. The thought of a camera that can produce better quality images in the dark or low-light AND that can AUTO focus in said conditions sounds marvelous, and that's the reason I'm aiming for full frame. It sounds like some of the crop sensor cameras may be better than the 6D for all the events I photograph, given their AF capabilities, but I'm okay with sacrificing some AF (within reason) and some cash for quality night and low-light shots. Maybe I'm wrong in thinking that full frame is necessary for all this though? I just read reviews and saw sample images and was impressed with the pictures coming out of full frame cameras in low-light and night conditions. I don't have hands-on experience with crop sensor cameras though, so I may be underestimating them. Please correct me if I am wrong in any of my assumptions!
Anyway, given my desire for nice low-light/night performance and AF performance with moving subjects at events, the 5D Mark iii is tempting. However, from what I've read and from what you all have told me, it sounds like the 6D will be a good fit for me while the 5D Mark iii is probably excessive. You asked about my budget. I have saved up 6,000, which is a lot, but perhaps not so much when considering that I currently own no photo equipment other than my point-and-shoot and my flimsy tripod, haha.