RE: which tom do you shoot?
When two toms come in, I try to line themup and take 'em both with just one shot!! (Just kidding, but a friend of mine actually did that one year when he had a two-bird permit.)
I don't know why a hunter would necessarily want to take the dominant tom, whatever that may be, strutter or "Silent Cal." To me, that'd be like taking the 10 point buck breeding the doe in front of you when an 8 point buck was standing next to it. Why would you deliberately choose to affect the reproduction rate/repopulation of the species by harvesting the bird that appears more likely to propagate?
Most of the posters here report the dominant bird is not likely to have a bigger set of spurs or beard, anyway. And from my experience and what I've read, the breeder toms actually "become smaller" over the course of the spring season, as they burn up a lot of energy and weight chasing and breeding hens. (I've seen that, too, having harvested a late season gobbler to find it weighed next to nothing and had virtually no breast fat remaining, wingtips rubbed down to nubs, breastbone barren of feathers.)
My choice on a pair of incoming toms would be to select the best shot, and if shot selection was equal, to select the larger tom (for eatin') of the two, regardless of which was "dominant."
Also, I've seen one tom be "dominant" one day and a different tom be dominant the next,so I don't thinkseeing a tom strutting on one occasion necessarily tells which bird IS dominant or the breeder tom.
Finally, let us not forget that EVERY tom turkey taken by fair chase methods is a trophy bird(at least IMHO), which is why I'd look for the best shot, then the fattest bird.