Don't support them at all.
For me, voting needs to be a protected activity at the absolute highest level. Any
law thing done that might decrease the ability of someone to vote needs to be strongly justified. Anything that might decrease the ability to vote
of a particular segment of society disproportionately needs an even higher justification.
Voter ID laws disproportionately effect the poor, racial minorities, disabled people and the elderly. These are groups that need more stringent protections of their rights, simply because they rarely have social power through the structures in place. Anything that might deny them their vote and ability to have any influence on those same structures should have to clear an extremely high bar before being allowed.
For me that would mean three things;
1) The law be addressing a real and serious problem.
2) The law do so in an effective manner, actually addressing the problem directly.
3) The law accomplishes 2 in the least restrictive manner available.
This is mostly just a rephrasing of the
strict scrutiny standard of judicial review, but it's a good standard for cases like this.
IMO, voter ID laws fail all three prongs.
1) Voter fraud is not a serious problem. It is incredibly rare, especially in the form that voter ID laws pretend to address.
2) If concerned about actual electoral or voter fraud there are far more significant areas that need to be addressed, while voter ID requirements don't really stop any actual problems.
3) This is a case-by-case thing, but most voter-ID laws I've seen are far from the least restrictive possible. Even some of the efforts to make them less restrictive have serious flaws.
One example of that (and this is from memory so I'll have to find a link for you all later) was when they made it so anyone registered but who didn't have ID on the day could cast a provisional ballot. These would be counted as valid unless challenged. Challenges were allowed from election observers who come from the parties, so this opened the door to partisan challenges, potentially along racial lines. Anyone whose ballot was challenged had to show up in court with valid ID or have their vote invalidated. I can't remember how or even if they were informed that their ballot was being challenged.