This is a terrible idea. If the player is genuinely turning everything into a competition, then it's only going to make him angrier and more uncooperative, simultaneously making the DM in question look petty and vindictive. If the problem is solvable now, it wouldn't be after this sort of behavior.So, has anyone suggested yet that the DM compromise with the player? Let him play whatever he wants, then proceed to kill it ruthlessly. Repeat and rinse. Characters will perish in droves until the player finally creates the DM is happy with.
There was a time when this was the obvious, routine, and automatic way to handle any character issues. We've gotten soft.
Going that route will not only ruin the game for the DM and the player in question, it'll frustrate and upset the others as they gradually take sides or lose interest altogether. It's a sure way to poison the game environment.
If you decide the player needs to go, make sure the others in the group see that you're trying to be reasonable about it. Don't go on a rampage against his characters, because that will only convince your group that they can't express their legitimate concerns without risk of suffering the same fate.