I could agree with Picture ID only in the narrow circumstance that (1) state-issued ID is free; and (2) the state proactively delivers ID to every eligible voter in the state, as opposed to requiring people have to schlepp anywhere and jump through any number of bureaucratic hoops to have to pick it up themselves. Also, to do it right, a state would not be able implement their voter ID requirement until the Federal Elections Commission had reviewed their situation and ensured that every eligible voter had been delivered their required voting ID.
Of course, the devil is in the execution here. I can see any number of states failing to carry out the obligation adequately, or challenging the proactivity or free aspects of it in court, essentially, having to give it away for free. But my point of view is, if the left have to compromise in order to address a phantom problem, then the right at least has to implement universal free ID delivery.