Booing doesn't help anything. They are our team, you cheer for them regardless. I'm not a fan of booing. I think it's in bad taste, and represents the worst cities.
And that would accomplish what? Make them play hard for fans that are clearly not on their side? I don't get that.
EDIT: Its easy to support your team when the wins are flowing. Its like kids. They most need your love and support when they are being the most unlovable.