Neither likes Hamas and Saudi definitely isn’t a fan of the Houthis.
It’s funny how several decades ago Israel was seen as the #1 enemy of the Arab world. But now most Arab leaders see Israel as a (potential) economic partner and see Iran and its proxies as the #1 threat.
The problem is that after decades of inciting their own citizens to hate Israel and Jews, they can’t really speak openly in favor of Israel or against Iran.
and don't forget the Sunni/Shia divide, where Iran will support Hezbollah because Shia, but wind up supporting Sunni Hamas because common cause against Jewish Israel usurping a piece of what was for a long period of time Islamdom.
for the deeply committed end of Islamic "church/state unity" thinking, getting back Israel is one step, but they expect Spain back too, just as they would like to "reencompass" secular moslem states.
Irans support for Hamas has from the beginning also (somewhat ironically, similar to Israel’s motives for fostering Hamas in the first place) as an Islamist counterweight to the PLO and its connection to pan-Arab nationalism.