I don't have a Mustang bass, but I have an EB-3 copy (EB-3 were SG shaped Gibson basses) They too are short scale basses.
Here are two things to consider with short scale basses.
Even though I love my bass, they can sound muddier in the mix with other instruments--this doesn't mean they WILL, but that they CAN. So a good bass amp is essential, and you may need to tweak the overall sound with a band. But it's not difficult to do. So don't let that discourage you. Just be aware it MIGHT be an issue. Then again it might not be.
The other problem is getting new strings. Most music stores don't stock short scale bass strings. Long scale strings will not work as well because of how they are attached to the bass at the tuning end. So if you want a consistent brand you either need to find a store that stocks them on a regular basis--or else order them.
Again--not a reason to not get a shortscale bass--just something to consider.