Can’t add my State ID, no matter how many times I try?

Do you have iOS 15.4.1 on your iPhone? Other than that, the only thing I can say is to try powering the iPhone off and back on again. And if that doesn't help, last step could be to do a Force Restart. Force restart iPhone - Apple Support

If that does not help, I would have to say to use the Get Support link at the top of the page here to contact Apple Support for assistance. If you have an Apple Store close by, you can make a Genius Bar appointment and ask for help at the store. Genius Bar Reservation and Apple Support Options - Apple

Follow the steps here, Add your driver's license or state ID to Apple Wallet - Apple Support

Are you in Arizona? That is the only state available at this time.

Unless you are from Arizona, you cannot add it. Arizona is the only state that has started adoption of the ID in Wallet.

While your comments on tech support are not without merit …

… a LOT of what happens “in the background” resides with the State and it’s contracted vendors.

(It’s much the same way that CCards are added to Wallet; w/ the card issuer doing most of the heavy lifting.)

Not making excuses for anyone … clearly there IS room for improvement in communications and status feedback.

Sometimes it’s just plain frustrating to be an “early adopter.”

Sorry you could not get it entered and we could not come up with a solution. Hopefully Support can help.