Nah, we have anti-ICBM technology but it's hilariously inadequate, as in, rate of successful interception is very low. And when you have nukes attached to the ICBMs, your can't tolerate even a single one going through.
Sure, a conventional war would never be as bad as 7,000 nukes, but one? Seven? Seven hundred? I expect conventional munitions would likely be better targeted, simply out of necessity, so the difference would be smaller than the ratio of TNT-equivalents.