a 70D most certainly can do continuous tracking, Canon's AI SERVO is probably the best in the business. It's why a lot of sports shooters use EOS 1DX.
I hope the a6000 is all Sony says it is.... competition is good for consumers! I still prefer the form factor of my EOS 7D (although it can get heavy), over the mirrorless options.
I haven't tried it... I was under the impression that the new live view on the 70d couldn't do continuos shooting, only single shot focus. I know it's traditional focus system can track well, but not the live view.
At least according to dpreview:
These tests are all very impressive, but Dual Pixel AF does have its problems, most notably to do with tracking a moving subject during continuous shooting. The 70D offers a 'Face Detect + Tracking' mode, in which it can follow your subject's face as they move around the frame, and keep them in focus. But if you combine this with continuous shooting - both high and low speed - the camera locks focus at the first frame, and doesn't attempt to refocus for successive shots. Worse still, the screen blacks out completely during continuous shooting, making the whole thing something of a guessing game, particularly when panning to follow a moving subject. This means that Dual Pixel AF is effectively limited to being a 'one shot' mode when shooting stills.