There is another problem with that idea--if they were Kierin racers, on TRACK bikes, they would be fixed gear, right? Well, you couldn't have a deraileur on a fixed gear bike, any resistance would transfer all the slack to the top of the chainline, probably jam it either in the spokes or bb shell, and probably rip off the deraileur all together. So, it would have to have a freewheel, in which case you're talking about a crit. bike.
If you want tight geometry, just go for a crit bike. If you want a track bike, go for a track bike. Nothing wrong with having both! Only problem is that crit bikes are expensive--not many entry-level riders race criteriums.