I think that it is grossly democratic. Everyone is on the same playing field.
And anyway the whole registering to vote thing is undemocratic. You have valid citizen id - you show and vote, and that is it. In Europe where everyone has government issued id card the system works fine.
In the US the suggestion that voting require an ID card is met with all the reasons people can't be bothered to get an ID card. Things like it's too far to go to get the card. Or it costs too much. Or they can't prove they are citizens.
If states were at all serious about voter verification through ID, they'd make every non-constitutionally guaranteed service require a photo ID. Then when it gets back to SCOTUS they could readily report that every resident in their state already has a photo ID.
And anyway the whole registering to vote thing is undemocratic. You have valid citizen id - you show and vote, and that is it. In Europe where everyone has government issued id card the system works fine.