Taking out BC from PS3 won't extend the life of PS2 that much. Not until a sizable number of the PS2 start failing. But as long as games are still made for PS2, which as ports from the Wii they could be for a while, the PS2 will still sell some. Probably into 2010.
What will be funny is when gamers start complaining about how poor the ports are. Just like PS2 had the better looking games, that didn't look so good as ports on the other boxes, I think that the same will be true as more games are made for the Wii, and as an afterthought for a bit of cash, ported over to the PS2.
Torturing the numbers. Hear them scream.