I don't think toxicity around this issue is 1) natural & rational, and 2) it wouldn't be blocking progress, if the calls for voter ID were genuine.
Discussion on this topic is genuinely impossible, but let me explain my rationale that works no matter what side you're on:
1. No matter how genuine you think anti-voter ID-politicians and -arguments are, a large portion of their voter base genuinely believes in them.
2. The pro side could propose legislation to guarantee everyone access to the required ID, guaranteed time off from work to acquire it, and guaranteed support for every eligible voter facing issues acquiring it*. This should pass easily, if it's not stuffed with poison pills.
3. Once this passes and sufficient time has elapsed (~2 years, I'd guess), we'd likely see the disparate impact shrink or go away entirely. At this point, voter ID laws would have enough support to pass without issue.
We've seen that voters opposing these measures are much quicker at dropping problematic leaders. Unless you're convinced that everyone opposing these measures has malicious secret intentions, there's no downside to trying this.
* even if they're e.g. missing documents like birth certificates (which legitimately happens too often to be ignored).