The set of people who do not have and/or will have trouble getting IDs has little if any overlap with the set of people who travel by air, purchase real estate, or lawfully purchase firearms.
I wasn't asking about which sets of people overlap or not. I was asking what makes ID requirement be identical with suppression - is it ID requirement itself or something else? If it is something else - what exactly it is? Is it where set of people is relevant - it is OK to ask some people to show the papers but not the others? Which people should be exempt and which should not be?
We know that voter id requirements are based in voter suppression because those requirements are targeted to preventing an attack that is economically infeasible and they don't even effectively mitigate the attack.
Look at my other comments in this thread for the details, but in brief, the cost of using voter impersonation fraud is extremely high, the probability that authorities will detect it is also high, and the penalties for breaking the law in this way are very serious. What's more, bypassing the ID requirement is trivial for criminals, in the same way that bored teenagers can purchase alcohol whenever they want because forging ID cards is easy.
Note also that IDs are actually not required for flying in the US. Flying without an ID is annoying and time consuming, but definitely doable (I've done it).
Most voter ID proposal I've read also make voting without ID annoying and time consuming, but doable. This is taken as a clear evidence the goal is voter suppression. Thus I am asking, why the same thing with flying is not considered movement rights suppression?
I don't see how without ID checks cost and detection probability of voter fraud is high. You just get a list of guys who are dead or in jail or otherwise aren't going to show up (shouldn't be that hard to do), and pay somebody some small sum to show up at the polling place and vote as the name on the list. Where's the high cost in that?