I reckon qualifying handicapped by pp difference. Don't know how- but obviously if you qualified in a Minolta for a Sunday cup (I know you wouldn't but for the example) pole could be handicapped by time proportionate to the PP difference.
PD could do the maths involved, that's why they're on the big bucks. That way you'd still have to be quick relative to the cars you're versing. But what's the point?
Maybe qualifying could apply only to cars within a pp limit within a set range of AI competing.
Also rolling starts- when I raced in real life- when the pole car went, so did all of us. You didn't wait to cross start/finish line watching front runners sailing off in the distance. Pole guy set the speed and determined when you all went.
Anyway, I agree, there should be a qualifying. Not very realistic not having it.