It's kind of half true - there is an association between not having an ID and being blue. Because people without IDs are more likely to be people of color or of other marginalized groups, which then are more likely to be blue.
In addition, there's a strong conservative history of using voter id as a means of voter suppression and discrimination. This, in turn, has made the blue side immediately skeptical of identification laws - even if they would be useful.
So, now the anti-ID stuff is coming from everywhere.
It's absolutely not true. People have to supply IDs for tons of activities. They have IDs. We know who they are. They are registered to vote -- how did that happen w/o ID? Of course they have IDs.