You missed the part where registering to vote requires ID in the first place, so the only thing being added are opportunities to deny the right to vote which has already been asserted.

Insult to injury is the additional administrative burden of voter registration.

It's a database query to generate a list of eligible voters and where they can vote. Literally.

Bonus points for maintaining 50+ heterogeneous legally separated voter registration databases. Thereby maximizing the likelihood of errors. Plus every VRDB has one or more teams of saboteurs; purging eligible voters, monkey wrenching, and sowing FUD.

...it's almost as if the there's some far reaching, widespread campaign to disenfranchise voters.