Undertaker.: Team tournaments are my favorite and I don't like your idea (sorry !).
I explain why :
I know these 2 situations : to be the highest BKR of the team and to be the lowest BKR in another one.
When I'm the highest BKR (so a rather good player), I prefer to play with an opponent with a similar BKR because a closed game is more interesting than a game where I'm sure to win easily.
When I'm the lowest BKR, I always hope to have an opponent with a similar rating so as to have a chance to win, because it's very sad to play a game with no possibility to win.
I imagine your idea differently :
So as to " mix " the teams, we could do like that : it would be possible to play with an opponent only if the 2 players have a difference of BKR below 150 (for example), so all the teams would have players with low, medium, and high BKR.
The choice of the difference could be an option.
Like that, the teams would be more well-balanced.