Where are you drawing power? Windshield wiper motor like most people do? Try using that to power a relay that will divert alternator power to the choke. You can get an extra 2 volts to it and help it warm up quicker that way. That's what I do, plus it's safer.
Also, make sure you have your fast idle cam synced up to your pulloff. The fast idle cam should be synced so that the very moment the car starts and the pulloff opens the choke lid to lean it out a bit, you should immediately be able to blip the throttle and drop the fast idle cam to the SECOND step and thus reduce the RPM so that you don't have to wait to at least come off the fast idle. You can make this adjustment by bending the metal tang on the fast idle cam.
I use Cliff's e-choke, too, and it's a good unit. It takes around 5 minutes to get down to my curb idle. What I like to do is start the car, keep it on the fast idle (I have mine at 1500) for around 20-30 seconds while I pull her out of the garage using just the clutch pedal, and then I'll blip the throttle to drop the fast idle cam to the second step and let it warm up at that lower RPM (around 1000 RPM). Usually after 5 minutes or so, I can blip the throttle again and I'm at my curb idle speed (700 RPM) and I'm ready to go. It takes just a bit longer for me because there isn't as much ambient heat in the engine bay to "push" the e-choke along because my car runs real cool.