In a new national poll released today by Data for Progress and Equal Citizens, 67% of Americans say they support H.R.1 For the People Act, even after being provided opposition messaging. This support continued across party lines: a majority of Republican (56%), Independent (68%), and Democratic voters (77%) also support H.R.1.
For transparency I'm not familiar with the organization doing the polling, but they include the exact questions and surveyed plenty of people.
https://www.dataforprogress.org/blog/2021/1/22/majority-support-hr1-democracy-reforms