"Curious what you think is "batshit insane" about US intersections"
Well, four-way stop is a reasonable thing, but I've seen a (very small) number of four-way yield intersections on American roads. And right turn on red is a classic, especially as it isn't universal. In New York (the state), it is permitted except where prohibited by a "No Turn On Red" sign; In New York (the city), it is prohibited except where permitted by a "Right Turn On Red" sign.
And there was the set of traffic lights I saw one time near the Capitol building in Albany, NY, with side-by-side lights.
And other gems, like intersections governed by flashing red in one direction ( = STOP sign ) and flashing yellow in the other ( = YIELD / Give Way sign ).
But they don't have anything like the Magic Roundabout in Swindon.