Of those on your list, my D applied dual degree at Michigan, CMU, and Johns Hopkins/Peabody two years ago. At all three, the music school and the other (engr., in her case) made their acceptance decisions completely independently. For the engr side, she needed to meet their stricter academic criteria. For music, the decision was much more dependent on the audition (she was BM) and the grade/test requirements were somewhat relaxed.
For each, you may be accepted to music, the other school, both or neither.
If one gets in for music and not the other, it may be possible to add the second degree later - sometimes requiring certain pre-requisites to be met. All the schools seemed to have a slightly different process here.