There are driving tests, and vehicle registration, but the truly dangerous stuff like guns and voting have that vastly reduced to eliminated.

History shows that every expansion of voting was accompanied by some new party looking to get elected by so doing. And now conservatives are doing similarly to what you said, and opposite to those historical expansions, by increasing restrictions / decreasing availability for college students to vote. Basically whatever helps them win. Liberals likewise are trying to get former prisoners onto the rosters, as conservatives have been pushing for the opposite.

But the uneducated people would not take kindly to having the conservative strategy, levied against others, turned around and used against them. What “should” be done, what “makes sense”, is irrelevant in politics, which is the art of doing what is possible, not what is correct.