The Houthis occupy the western on third of the map above of Yemen. A ground presence will not succeed, the Saudis and a coalition of nine nations have made no progress since their invasion in 2015.
US involvement in this conflict directly will not end well.
“Under Presidents Obama, Trump, and Biden, the U.S. provided significant support to the Saudi-led coalition that fought a war to oust the Houthis from 2015 to 2022,” Sheline explained. “Even with a massive air campaign as well as a ground invasion led by the Saudis and UAE in southern Yemen, the anti-Houthi coalition was unsuccessful, partly due to the infighting among the Yemeni members, who beyond their antipathy towards the Houthis, agreed on little else.”
If the U.S. wants the Houthis’ Red Sea ship attacks to stop, rather, they might take the Houthis’ stated objectives for their attacks — namely, pressuring Israel to end its onslaught of Gaza — into account.
“The Houthis have consistently said that they will end their attacks on ships traversing the Red Sea when Israel ends its war on Gaza. During the period of the ceasefire from mid January to early March, the Houthis upheld this commitment and did not attack ships,” Sheline explained.
https://responsiblestatecraft.org/us-yemen/