I don't really have a position on the issue one way or the other, but it is insane how quickly this somewhat small issue (compared to stuff that everyone has been talking about for decades, like abortion) became part of the culture war, I already see "come and take it" memes being made.
At least on mine the coils are removable-- you just pull it up to a diagonal position, then pull it out of the socket.
The coils themselves really are a bitch to clean though. I learned very quickly to never use soap or anything to clean them, just straight water. Or else whatever soap residue is left on the coil will smoke up the next time you use it.
Unfortunately my kitchen was never piped for gas, so I'm stuck with this until I can afford a gas line install or an induction stove.
Yeah I learned that the hard way