I'm all for anything we can do to reduce fraud there to, and any other vector for that matter. We can walk and chew gum at the same time and likewise we can reduce vote and election fraud on multiple fronts simultaneously as well.
And I'm not advocating the Voter ID thing because I think it's going to swing an election and the controls don't need to be as robust as Fort Knox. Free IDs for the poor/indigent combined with a system of affadavits and physical control (like the blue ink on finger) would still be vastly more secure while presenting no appreciable burden for pretty much anyone.
The first thing you need to do to convince rational people that fraud needs to be controlled is to show that it actually exists to an appreciable degree. That hasn't been done, nor likely will it ever be.
Given that, motives of strident advocates are entirely suspect.
I want everybody who is eligible to register & to vote regardless of their ideology. That transcends partisanship, or it should, anyway. I also believe that there's no reason to think the idea isn't in the interests of democracy or that voter ID requirements don't inhibit it.
In our system of free elections, greater participation ensures greater legitimacy for govt in general. We need that.