I would love to visit Saudi Arabia - after the next elections.
Until elections are held and a free press exists - heck no.
They actually have some kind of municipal elections when they feel like it. They had them in 2005, planned for 2009 but they happened in 2011 and in 2015 (this one was open for women). There is currently no plan to hold them again.
Saudi Arabia completely lacks free press. Qatar is an equally totalitarian state but they have in my opinion the best news company in the world, Al Jazeera. Pretty bizarre. Highly recommend watching Al Jazeera, their journalism is top notch for everything not regarding Qatar.