I guess the big question is what sort of role would you like? There isn't a whole lot shared between audio engineering (which I assume is same as music) and electrical/mechanical.
The audio engineering aspect would lend you towards providing sound for many of the shows or parades and even fireworks displays (they all have music!). Are you interested in mixing live music? You could also do recording - which would be mixing and mastering tracks, but I feel like there are many less jobs in recording as opposed to live production. These jobs are under Show Development and Production and the title is Lighting/Sound/Stage Technicians. This is more hands on setting up and testing the audio systems, maintenance, and actual mixing/production during shows of instruments or voices. For this it helps to have experience mic-ing instruments and people as well as experience with live mixing of audio tracks.
If you ended up going with with the major and double minor, you might be able to design some rides/shows and be able to participate in the fabrication of the audio systems there. This would be called Ride and Show engineering I believe and they're responsible for designing and supervising the fabrication and testing of enhancements and new designs for rides. Ride Engineering consists of both Mechanical Engineers focused on Machine Design and Electrical Engineers focused on Control Systems.
I actually looked into this a bit a few years back, as I have worked in audio recording during high school and college and owned my own entertainment company. Let me know if you have any other questions, as I did a decent amount of research into this and have friends in entertainment - both at Disney and outside.