My main reason for not purchasing one was that I prefer the Tamron 200-500mm. I concede, however, that I'm in a minority of about one. The Tamron is sharper glass than the Sigma [as confirmed by a recent Geoffrey Crawley review in AP], but a slower focusing torque speed and it doesn't have the added benefit of a closer focal length.
BTW, and this is heading off topic for a moment.. don't believe for a second that screw drive is that much slower than USM/AF-S.
Focusing speed is down to the motor, but focus lock is down to the sensor in the body. And that's a combination of sensor type and body dynamics. A screw driven lens on a good body [D700, D80 even with its CAM module] is just as quick to lock on focus as an ultrasonic lens on a lower end body. My motorless Tamron 17-50 is the fastest focusing lens I own, then it's my 50mm prime, then my 70-300VR, then the 200-500, then the 35mm/1.8 AF-S...
Anyway, you're Canon, so screw drives are irrelevant. You'll only have the option of the old-fashioned Tamron motor, which is undeniably slower than the Sigma's HSM. Both of these lenses are f/6.3 at the long end, so neither is going to lock focus terribly quickly in low light, even on your 1DmkII.
If you're only going to use these for the long end, better to go with a prime, [no converter, or you're back in the slow f/stops again], and crop in PP. At least then you'll have useable AF and good starting image quality. Canon's 400mm prime is probably the tastiest thing Nikkor don't have...