Israel will not back down.
The Houthis could be destroyed in 15 minutes with one bomb.
Cleanup might be a bit messy...................
The Saudi-led coalition has been bombing the Houthis for quite a while now. What's their luck been?
(And if you're referring to nukes, one wouldn't suffice: the portion of Yemen controlled by the Houthis is over 30,000 square miles at least. Even the most powerful nuclear detonation in history, the Tsar Bomba, only had a damage radius of 100 miles.)