Jeffrey,
I have the non-Sport OS version, a very sharp copy. I have not shot any sports with it though, only wildlife.
I found the tracking to be quite good, even with the 1.4x TC. I'm sure a Canon 300 2.8 II would track even better but my keeper rate is very good.
As for TC, I can tell you that my Sigma works best with Sigma APO EX DG teleconverters. First I had a Kenko Pro 300 DG 1.4x, which I thought was pretty good (it's generally well-liked). Then I thought I'd give Sigma's 1.4x a try. It is significantly better, sharper, better contrast. So I stayed with the Sigma.
As for 2x TC, I had about 4 different ones, including 2 (!) copies of Canon 2x III. My Sigma 2x beat all of the other competitors in sharpness. The Canon 2x III had better CA control, and was a tiny tiny bit larger in magnification. But again I stayed with the Sigma since it was the sharpest 2x I've tried. (I had 2 other ones, cheaper ones that were inferior to both the Sigma and the Canon.)
The 120-300 OS + 1.4x TC is super sharp on my 5D3 and very sharp on my 70D. Even the 600mm 2x Sigma TC shots are nice and sharp on my 5D3.
But like I said, I've never shot sports. Once I tested my 6D's tracking AF on some runners in the park, and it worked great, even with the supposedly "unusable" off-center points (that was actually the purpose of my test back then; to prove that under descent conditions, those off-center 6D points were actually more usable than most people think.)
Here are some examples of the 2x Sigma TC, 600mm, on the 5D3. These are 100% crops. Wide open, then f/6.3

IMAGE LINK: https://flic.kr/p/oR5Y3h
sparrow4
by
gabebalazs
, on Flickr
IMAGE LINK: https://flic.kr/p/pMGMMD
sparrow5
by
gabebalazs
, on Flickr