What I’m seeing through your comments here is that your kid trusts you enough to get you into the weeds with them on this problem, has a good enough sense of judgement not to want to just fudge their name to follow the path of least resistance (don’t want to do election fraud in a technical, though not real, sense), and you all have thought through it all and realized it’s a battle not worth having, given your local and statewide political makeup as well as the stress it would cause your kid. It seems like your kid is comfortable with you, self-aware, and capable of making the sorts of pragmatic decisions that many adults cannot make.
Damn. Do you mind asking your kid what it feels like to have good parents that are preparing them to tackle life’s challenges?

Presented kind of as a joke, but good job. Seriously.