Instead of making the whole team poll something they dont want to a person who would like to be commander could apply for it, lets say in the first 30 seconds (random number taken), after these 30 seconds one of the persons who applied is picked by chance.
Advantage would be that people who dont care dont have to press 1 or 2 or anything else and that everybody who applies gets a chance to be commander.
Disadvantage would be that good commanders cant be commander all the time when other people apply for it.