I'm not sure I understand your answer. When I signed up for Apple Music, it immediately took over control and management of my personal library of mp3s. That is, I could still play tracks from my mp3 library and I could stream Apple Music. So I could do both with my one Apple ID. I don't want to co-mingle anything.
But Apple Music changed all the customized genre settings that I had meticulously maintained over the years. It also prevented all of my playlists - regular and smart, numbering several dozen - from syncing from iTunes to my iPhone. Some of my playlists were genre-specific, so it royally screwed up those tracks. And when it decided to change the genre settings on my mp3 tracks to the genres that it wanted, suddenly I had dozens and dozens of genres, many with just a few songs in each, which to me is worse than useless. (When I terminated Apple Music, I had to delete the Music app and then reinstall it, and then re-sync with iTunes and do a couple of other things, and thankfully that restored my personal library in my iPhone with my customized settings.)
So the thing is, I don't want Apple Music to manage my personal library. I just want to use Apple Music solely for its streaming library, and I want it to keep its grubby mitts off my personal library of mp3s.
That's the crux of my question. I wondered whether I could use one Apple ID to listen to my personal library and maintain my customized settings, and use a second Apple ID solely to access Apple Music's streaming service. If I'd have to sign out of one Apple ID and sign into a second Apple ID in order to keep Apple Music from touching my personal library, I'm perfectly fine with that minor inconvenience. But...can I do that? Would that accomplish what I'm trying to do?
The key point, the most important point, the only point that matters to me is: I don't want Apple Music to touch my personal library. So, is there a way to use Apple Music on the same device - my iPhone - where I maintain my personal library, but have Apple Music leave my personal library alone? Would 2 IDs do that?