The problem is not the Houthis. The problem is Iran. The Houthis have been built up by them. Without Iran, the Houthis are just another regional extremist group in a region filled with an over abundance of them.

I try to avoid making predictions here, but I will offer a "potential future solution."

The attack Israel made on Iran was strategic, and seems to have accomplished three things. 1) It put Iran in a position where it must counter attack to save face. 2) It appears to have majorly crippled Iran's air defense system. 3) I also appears to have degraded Iran's missile making abilities.

The results are: Iran now has a more finite number of missiles, with no way of major resupply. The upcoming counter attack it says it will conduct will expend a lot of its ammo. That counter attack will be Israel's excuse to go back in and cause much more serious damage, and Iran's crippled air defenses should make that more likely.

If Israel has not already shut down Iran's missile making, an upcoming attack will probably do so. No more abundant missile supply to the Houthis. Their ammo stockpiles are then also finite, and the more they fire, the faster they run out.

The coalition should then run a large number of bait convoys through the region and encourage the Houthis to dump as many of their missiles as possible.

The problem should then diminish significantly with time.

War is about logistics.

Will this actually come to pass? Who the heck knows. Probably too complicated. Requires too much coordination between a number of countries with not overly unified objectives.

But, it's a potential solution, nonetheless.