It's not about pushchairs but the attitude 'behind the wheel.'
Okay, my pushchair is now fitted with Bontrager XR4s and I have 120mm of carbon fork travel, but I'm always polite and make the effort to move out of the way for other people. I understand the argument about the arrogance and indifference of some parents but I'd bet your bottom dollar they're mostly 4x4 drivers who can't drive either, with no regard for other people wherever they are. Not so much yummy mummys, as they are dippy, inconsiderate and/or downright arrogant twat rashes, worse still when Dad arrives with his iphone tablet.
Banning pushchairs is not on, it's blanket reaction and it would put my back up and I'm not unreasonable in regards to the effect I'm having on other people. Challenging crap attitudes and anti-social behaviour should, in contrast, always be on the agenda.