The comets aren't harmful at all, as long as they're still "heading ... towards the Earth".
But if you want to compare a nuclear war to a comet's IMPACT, then if the comet is big enough and fast enough, the impact of a SINGLE comet could be far more harmful than a nuclear war.
And "big enough" could be a rock only a few miles across.
A million uvum ? No question. The comets are, if they hit.