IMO this is the best approach, but it is worth noting that musl libc is not without its caveats. I'd say for most people it is best to tread carefully and make sure that differences between musl libc and glibc don't cause additional problems for the libraries you are linking to.

There is a decent list of known functional differences on the musl libc wiki:

https://wiki.musl-libc.org/functional-differences-from-glibc...

Overall, though, the vast majority of software works perfectly or near perfectly on musl libc, and that makes this a very compelling option indeed, especially since statically linking glibc is not supported and basically does not work. (And obviously, if you're already using library packages that are packaged for Alpine Linux in the first place, they will likely already have been tested on musl libc, and possibly even patched for better compatibility.)