Yes, perfect sense.
I do not even think that any series of elections will reign the beast in.
I am not sure that anything can.
It boils down to the fact that mankind is utterly corrupt and cannot be trusted with power over other men at all.
God can, but must be invited.
With the great caveat that it is the beast in our hearts that needs to be conquered first. Then, as an exercise and object example, the wicked politicians of the age may be flushed out too. No guarantee of the second. A promise applies to the first: with God all things are possible.
I don't agree that mankind is utterly corrupt. I think it's more that those who strive to have power over others are easily corrupted.
We'd probably get a less corruptible HOR and US Senate if the names of the chosen were picked at random.