That’s exactly my point! Even the vocal anti-MBP crowd themselves continue metzitza (with a tube as it is) because Chazal were Kovea it as such (and even though modern medicine would tell them to forgo metzitza altogether for a medically safer approach).
And our point is that Chazal were Kovea MBP itself. (Granted they disagree with this view of Chazal, but nevertheless it is our strongly posited halachic definition of Chazal. And they cannot demand we forgo what we pasken is mandatory per Chazal.) So just as they insist on continuing metzitza with a tube because Chazal were Kovea it, we insist on continuing MBP because Chazal were Kovea it.
If they demand we stop MBP despite our poskim paskening we must do MBP per Chazal, they should have stopped metzitza (even with a tube — in favor of a more modern medically safe approach). Since they are not, they are being hypocritical in their position. They continue MBT (per Chazal) but demand we stop MBP (which is also mandatory per Chazal, according to our poskim.)