Op, sounds like a more regular bus service would benefit your whole community. Maybe the issue here is the bus company. I think most people will use a car if there isn’t suitable public transport.
Many PPs have raised great points. Car pooling isn’t ideal due to the car seat issue, especially if parents already have 2 kids.
Parents have to navigate between dropping kids off at 2 different locations often, before heading straight to work.
Realistically, not many people will cycle, as it doesn’t feel safe, and it’s still not time efficient to have a small window to drop kids to school, cycle in busy traffic, then have to look presentable at work rather than sweaty.
Many of us actually have long commutes because we cannot afford to live nearer the place of work.
Two parents now have to work.
If the school makes a rule where parents can’t pull up at the school, the traffic will just be diverted to someone’s residential street. I live on a street with a school, yes I can get stuck sometimes in the queue and everyone parks on my road, but I don’t get angry as I understand there isn’t anywhere else.
Breakfast clubs and after school clubs are more cost which many people can’t afford, and can be very tiring for primary aged kids.
I say this as someone who walked to junior school as a child and got the bus to secondary school. I will also be walking my child to junior school as it’s close.
But if you want a resolution, someone needs to make a compromise. Both sides here seem to be batting off all suggestions, including you.
If you struggle with an extra 15 minutes of your day, you need to understand that parents will have the same struggle.