Any normal country would surrender in order to prevent further casualties and likely a complete destruction of its civilian infrastructure. The most dangerous thing one can do is force the enemy to a position in which they cannot surrender, one of the main reasons the US did not want to invade Japan is that it knew that an invasion regardless of how devastating it was would make surrender impossible, for this same reason it did not nuke Tokyo, this is also why you do not usually go after the government during a war you need some one to be able to surrender or negotiate a truce.
P.S. Dumping nuclear waste is effectively worse than getting nuked, Canada is probably better off with getting every major city nuked than dumping nuclear waste anywhere. Nuclear weapons, especially modern ones are not as "dirty" as people think, yes there will be some lasting effects due to fallout and radiation but it's not that bad, most of the isotopes created by a nuclear bomb are pretty unstable and decay fairly quickly which is bad because it releases a lot more secondary radiation but it's not as bad as dumping nuclear waste which will not decay for millenniums to come.