Thanks for all the informative and insightful replies to my post here. It seems most everyone just figures out a system that works best for them based on their own warmup needs and requirements, which in the end is what I'll do.
I think what I'll end up with is using my BMC Trackmachine with the standard road tire PSI on the Feedback Sports Omnium track trainer. For everything but the pursuit/TT events, I'll just go from the trainer on that bike to the track. For pursuit/TT, I'll switch to my Fuji Track Elite with the higher PSI tubulars, aero bars, disk wheel, etc. It means I won't be warming up on the aero setup, which is fine. I'm used to warming up on a road bike for time trials anway.
I'm also going to work on the design of a DIY resistance contraption for the Omnium track trainer. I have a few ideas that I think will work brilliantly and install on the trainer's roller sled in 60 seconds or less that don't involve a hand towel. ;-)