I'm sorry but this is just a gross distortion of the truth. Having lived in Saudi Arabia for over a decade, I came to know the thinking of its people and I have witnessed the propaganda of the state media. This is not the first time that Saudi Arabia has waged war against Yemen. Yemen is religiously divided. The Houthi rebels are Shia and largely concentrated in the North West of the country. They are not a pawn of Iran, as has been pointed out many times by many journalists (and even a number of US politicians and generals) that have even a modicum of understanding. The Saudis view the Shia as heretics, for which the punishment is death. The small Shia communities in and around the Eastern Province of Saudi Arabia have long been brutally persecuted. The same can be said for the majority Shia population in Bahrain, which is ruled by an authoritarian Sunni king and staunch ally to the Saudis.
The Houthis are not a foreign proxy force. Their aim was never to invade Saudi Arabia, which is an impossibility given the strength of their numbers and their complete lack of any military equipment besides small arms and the odd rusting Soviet-era missile. Whilst they may make grandstanding speeches for the purposes of galvanising the domestic population, it was never within their power or their plans to carry out such things. They overthrew the Saudi-puppet president, after he made it clear that he was taking his orders from Riyadh and made no effort to improve the situation for the Shia population. The Saudis immediately responded with what we see today.
In any case, the Saudis are indiscriminately bombing Yemen whilst making zero effort to actually change the situation on the ground. You cannot reinstate Hadi, who incidentally is under house arrest, by bombing vast swathes of the country from 30,000 feet. Their bombing campaign is one of religious cleansing and maximum collective punishment. It is also extremely popular within Saudi Arabia, where the population is taught from early ages to despise those that do not follow the fundamentalist Wahhabi ideology. Much like the Israelis lining the beaches with their deckchairs to cheer the devastation of a bombing campaign in Gaza, the Saudis celebrate every single civilian death unashamedly. In their eyes, the Shia are sub-human - lebensunwertes leben.