langdonb said:
Most of my shots are at 300mm, f8, 1/1250, high speed flash snyc all on a tripod. I have shot many tack sharp images with the 60D, but can not match them with the 6D.
Fyi: The phase af system always works with open aperture, in your case f5.6, no matter what aperture you use for the actual shot.
The 6d af system is known to be dodgy for fast lenses... but having said this I've got the same combination (6d/60d+70-300L) and with this lens you should get adequate or even better af precision than the 60d if (if!) you only use the center point. The problems with tracking and the outer points have gotten a lot of coverage, use search

or read these.
http://www.canonrumors.com/forum/index.php?topic=17492
http://www.canonrumors.com/forum/index.php?topic=17879
vscd said:
As you use tripod, make sure the IS is turned off. Ths sounds awkward, but I know a lot of people forgetting this important fact.
The newer Canon IS lenses have tripod detection and are supposed to turn IS off automatically ... but in my experience for this to work the tripod really has to be 100% static, not a breath of air, so it doesn't hurt and manually turn it off - my 100L seems to work better with the latter, but it might be just a placebo impression.