You also need a drivers license that doubles up as a real id if you want to travel by air. So the issuance of a DL isn't just for driving.
I'm not sure if they give regular state id's as real id.
At least in CA, the DMV does issue Real ID state IDs. I have one.
At least in Oregon they definitely do offer non-driver real ID cards. I’d guess that’s likely true everywhere.
This is one of the strangest internet myths. Every single state in America will issue a photo ID which is fully equivalent to a drivers license for every purpose other than permitting you to drive.
Also, you don't need "Real ID" to fly no matter what they say. You don't even need a photo ID at all (although they'll force you to waste time if you don't have one. I found this out when I lost mine but still had to travel.)