That is why your UK credit score has "being on the electoral roll" as a major component - private companies trust the registration process required to vote.
As to photo ID - there is no federal mandate to have photo ID for voting, and only 15 states require voters to show up to polls with a photo ID [2]. And those states that do are routinely accused by democrats of voter suppression for this requirement. That's kinda the point. One side argues that SSN verification is ripe for abuse, the other side argues that requiring ID is voter suppression.
In order to claim that the system is not ripe for abuse, I think you'd need to prove that SSNs are secure, which is gonna be a major problem because they are definitely not.
1: https://www.cnbc.com/2015/03/11/dead-peoples-social-security...
2: https://en.wikipedia.org/wiki/Voter_ID_laws_in_the_United_St...
> According to the data provided in the report, there were 51.4 million votes cast across the UK in 2015, with 26 allegations of voting fraud relation to in person voting and 11 relating to proxy voting, a total of 37.
It seems negligible.
Go to a polling station. State your name and address. They cross your name off and you get a card Make your choices and put it in a box.
There is negligible voter fraud.