I really dislike the idea of having no idea who you're loading in against. Even level gave you some information (time spent playing the game). Ideally you'd like to know where they rank on the ladders.
If people are dropping because they're scared to play against high level players, that really should be their own problem. The game shouldn't cater to them, and try to "trick" them to stay in the game.

If they think they have no chance and want to drop, let them drop, that's their prerogative.