The safavids were way more savage, they used to kill Muslims, rape the women and even split the stomach of preganat women. They are he houthis aren't as bad right now and they are better than the Americans.There was a time when Persians were 90% Sunni until the Safavids came into power. It doesn’t matter if Yemenis remain Sunni. Houthis follow twelver sect and that is what they are importing to the country.
This is Yemen under Houthi rule. Imagine 100 years from now.