Welcome to the cafe, @nfs515!
Musically, you're already way above my (amateur) level! I have no experience whatsoever in pit orchestras. I assume that their members' reading and playing ability is also far above my (amateur) level. I just wonder whether you're asking this question a bit too soon in your musical career. I don't question your musical talent or ability (on both instruments that you play)!
I just note that almost all (with some exceptions) ''instrument-playing professionals" in NL have a 'music degree'. During their degree courses, they obviously focus on developing their reading/playing of their 'main instruments'. But they're also required to develop their skills in a 'second instrument' too. For students who have voice, woodwind, brass or stringed instruments as their 'main instruments', their (obligatory) second instrument is almost always piano.
In addition to their general musical education and their primary and secondary instrument education, they also have 'options'. Some students choose composition/arranging with - optionally - directing. Others optionally choose a 3rd (or 4th) instrument to study and practice.
So, without any experience whatsoever, I wonder whether you are able to:
Hope this helps,
Mike
PS. I have no idea whether learning to play clarinet or sax helps you most. When I asked a sax teacher what the difference was between the two, his reply was "you have to really learn to play the clarinet but you can just hold a sax in the wind and it'll play itself". I've never learned to play clarinet but from his reply, I deduced that it's better to learn to play clarinet first and sax second rather than the other way round. As always, I'm probably wrong!