First, all we would do is shoot at fired missiles.
Then we started firing at missile launchers.
Isn’t it time we took out those who could potentially fire missiles???
We and the UK have made some strikes targeting Houthi logistics (storage), radars, etc., but, Iran has stocked the Houthis in considerable depth. The Houthis are tough & numerous (18% of Yemen's population was the estimate I saw somewhere.) Given our resources in the area, I don't think we can kill enough of them to make much difference, although focusing on their leadership might be worth a shot.
In any event, "some strikes" (at least against the Houthis) isn't going to cut it.