It would cease to be a country and instead would be basically a loosely bound conglomerate of individual states under the banner of the Constitution.
Whether or not that's a good thing is up to you.
Funny. Canadian provinces has that right. So you're saying Canada is no longer a country?
I'm assuming you're talking about the notwithstanding clause? I believe provinces only have the right to use it on legislations that overlap provincial powers. That's why Alberta can't use it to ban same-sex marriage, because the definition of marriage belongs to the federal government.