Personally I have used 70-200 f2.8 non-IS with 2x canon tc.
So the result is I have to shoot at f5.6 or slower. I was shooting an aerial aerobatic display at the Singapore Airshow.
I find that the autofocus is hampered. Autofocusing is at about same speed, but hunting occurs very very frequently. Furthermore, the image quality produced, is severely degraded. Pictures don't even look like it came from a 70-200 f2.8.