Would you all have any suggestions on attempting to get parents to consider the possibility that the headmates of our system are more like children they didn't know they raised, rather than a problem to be avoided/solved? Any resources you can suggest to provide to them?
While we have very limited experience with the interaction of parents and system members (the parent we came out to was incredibly closed minded about it) we do have experience trying to convince people that we are, in fact, people. I'm going to guess you're asking because you've already come out, but they're treating your others like a problem, so this response functions under that assumption.
Our first suggestion is to have one of them speak to your parents; have them introduce themselves, and make sure it's someone friendly or warm enough that they won't make your parents feel a need for defensiveness or aggression, maybe someone who's had a good history of dealing with your parents.
If that doesn't work, you, the one who they view as their child should write them a letter, or an email, where you explain in depth exactly what your headmates are to you; what they've done to protect you and how they're separate people, not just symptoms or a neurological blip. Make sure you get it all down, and give them space and time enough to read it if possible, without you there so they can process and discuss between themselves. Do something nice for yourself while you do.
You can always direct your parents to this blog (and we can hide or delete this post so they don't find your blog, if you'd like to) and beyond that, we suggest having a look through AstraeasWeb's FAQ and seeing if that's information you would want your parents to have on plurality. Expose them, if you think it will help, to blogs or videos of alters. This might be the right situation with which to enter into a discussion about watching the United States of Tara together, or something of the sort. There's also the Layman's Guide, which, while a bit outdated, is still a great resource.