Here in Texas I've never been asked for more than just my state ID badge. I've never had any problems. I'll also say I've noticed here in Texas there is a government rate and a state government rate. They aren't always the same amount so check both. You probably qualify for both. I have read on some (not all) that the will only I've you the rate for official business, or pleasure. I've never personally ran into this but I've heard it.

As others mentioned, local government isn't state government so you might not get it.