And the gravamen of those requirements is to have a law degree from an ABA-approved law school. Some states (e.g., California) do not have that requirement. All states I'm aware of also have a character and fitness requirement. But it is nevertheless the case that the biggest hurdle for the vast majority of people, before they can take the bar exam, is having a law degree from an ABA-accredited law school.
Which is why the link you provided highlights only those two requirements...
Note that there is not one set of requirements to “sit for the bar exam in the United States”; each separate jurisdiction in the US has its own bar exam requirements, which typically include more than just what law school you go to. See, https://www.americanbar.org/content/dam/aba/publications/mis...