They’re both Islamist.
Saudis are anti-Islamist and the young Saudi leader at least *claims* he wants to institute a more liberal government that grants rights to women, religious minorities and etc. So you have to factor that in.
The region is fricking complicated beyond words. It’s tempting to just stay the hell out of it altogether.
Qatar shares the South Pars gasfield with Iran so their loyalties lie with Iran.