It's unbelievable how much deference and grace the Houthis have been given by the US, UK and our partners. We are wasting millions of dollars using expensive missile systems against cheap drones, when our militaries could easily target their launch sites and logistics centers with less risk and the same cost.
After everything we have seen this past year of Iran supporting Houthis, Hamas, Hezbollah and Russia creating conflict in Europe and the Middle East - I really don't understand why the Biden administration took the Houthis off the terrorism list and still trying to work with Iran on the fools errand started by the Obama administration.
The path to peace does not run through Tehran or their terrorist proxies like Hamas, Hezbollah and the Houthis IMO.
Drone launch sites could be anywhere and are easily hidden. Unlike ballistic missiles, drone launchers are also very simple. Some drones launch directly from the ground while others have very simple rails they launch from. If the drones being used against ships are the same as the Iranian drones the Russians are using, these are probably rail launched, but those launchers will be impossible to locate.
This is a Shahed drone on a single launch rail
HESA Shahed 136 - Wikipedia
The Saudis have been bombing that region of Yemen for years and there isn't much left.
The problem with drone warfare that everyone is coming to terms with right now is that the barrier to entry into this kind of warfare is extremely low. A force whose reach from their forces was measured in hundreds of feet or meters a few years ago now has a range of effect in the hundreds of Km with weapons that cost as little as a mortar.
Air defense systems evolved into missiles leaving artillery based systems behind because the aerial threat was from manned aircraft. Missiles are usually one shot, one kill whereas guns can take a lot more rounds and have shorter range than missiles.
Few militaries have enough manned aircraft to overwhelm even a modest missile based AD system and those that do are not going to risk their expensive trained pilots and expensive manned aircraft to attack them. Russia is one of the few air forces big enough, but the AD capabilities of Ukraine have kept their airpower stood down to a large degree in that war.
The nature of aerial warfare has changed dramatically and air defense systems have not caught up.
Shahed are slow, low tech drones. I don't think jamming will work with them because they are fairly autonomous once launched. However, I think helicopters armed with infantry automatic weapons might prove to be effective. Every USN destroyer has at least one helicopter. The US could also send in an LHA or LHD with a helicopter air wing. Currently the US only has two active LHAs (5 were decommissioned and the replacements are being built), but there are 7 LHDs active (the 8th destroyed by fire in San Diego a couple of years ago).
Landing helicopter dock - Wikipedia
Landing helicopter assault - Wikipedia