Might as well do away with the position of president too. That's way too much power in the hands of a single person who, as donald regularly demonstrates, could act arbitrarily.
Just 1/3rd of senators get elected every two years and only handful among those races are balanced where special interest can tip scales with little effort. Same for congressional elections, few places with 50/50 spread where money can easily gain influence.
Presidential election is too big, at the exact same time, for money to wield influence. I for one am glad that we have presidential elections, people have some voice, at least.
In addition to losing the single executive, you'd need to make some other constitutional tweaks e.g. deploying the military would require a consensus between the Secretaries of State, Defense, and DHS (and maybe Treasury?).
Something like that could end the imperial executive branch with a very simple distribution of power.
I actually half support this idea. Why do we need a President? What powers does that one person in that one office have which couldn't better be delegated to the states?