They are the logical first targets for the Houthi's to attack.

Houthis just don't have means to do that. Iran is friendly with both them and Oman. Oman doesn't have a history of declaring war or threats over something, so they proclaimed their ultimate neutrality - and blocked access to it's airspace.

Yemen has already been bombed back into the stone ages, infrastructure wise. More airstrikes will not break them.

Official Yemen wasn't bombed. What was is a territory held by the Houthy junta. It's not better or worse than an official dictator. It's just incorrect to miss that distinction.

And I don't think they would be capable of anything military-wise after these strikes.

They just don't have any serious backing even from other islamic states, so I don't know why they even acted out for western allies can simply erase everything they have without any backfiring.

I feel like it's other states who ordered their leaders to act, while these leaders are completely safe.