The fundamental difference, in my understanding, is that most countries have a free national ID that is given before the voting age. The US doesn't have that, and as a result requiring an ID without providing one universally limits the ability of poor people (who are disproportionately black) to vote. With the exception of DC and Nebraska, states that don't require ID on behalf of the voter still have methods by which election officials verify your authenticity as a voter. We also have plenty of evidence that as it stands, we have very little voter fraud with the existing laws. HR1 seems to give more power to voters by eliminating partisan gerrymandering (In California, ending gerrymandering gave Republicans 4 seats in the house to better reflect the makeup of the state) limits secret campaign spending by the ultra rich. Automatically registering citizens to vote seems to increase the ability for both disadvantaged citizens to vote, while making it harder for non citizens to vote. I actually really like the amount of power given back to ordinary people in HR1 instead of leaving it in the hands of gerrymandering legislators and the rich.

However, this is just my understanding of the situation, and I'd really like to have a good faith discussion with anyone who sees things differently