If the aerodynamics of the gap between the fairing and the road apply a vertical down force between the centre of contact with the road and the centre of gravity I fancy you can do rather better than my previous post would suggest. I must admit I’d missed that possibility
Probably they do better largely because the actual coefficient of friction for MotoGP tyres is closer to 2.0 than the 1.2 you extrapolated across from F1 car tyres. Today’s street motorcycle tyres have a coefficient of friction of circa 1.2 and are nowhere close to as sticky as track tyres, let alone the creme de la creme MotoGP tyres. As I don’t know the formula you used, not sure how much lean angle difference there would be between a coefficient of 1.2 and 2.0 but I feel sure it would largely explain the actual lean angles regularly recorded by data loggers in MotoGP of up to 68 degrees or so.
F1 car tyres have to handle a lot more weight and a lot more horsepower than bike tyres without shredding and melting away before race end, so probably use a harder compound than the bikes. Race tyre compounds are a constant battle between soft for grip vs hard for longevity. Softer stickier rubber is great for cornering but no good if the rider/driver has to pull in for a tyre change before the race ends and his competitors don’t because they have a harder longer-lasting compound.
But as you say,there could be other factors. The new fairing design is interesting, using ground effect between the side fairings and the ground when heeled over, based on the belly pan designs of F1 cars. The air passes through a sort of venturi-shaped space, increasing its velocity and reducing its pressure, thus “sucking” the bike down towards the track surface and putting more downward force on the tyres and thus increasing friction between tyre and track.
As for counter-steering, LOL. Has been endlessly debated on countless motorcycle forums and YouTube videos already, without an agreed conclusion. Along with synthetic vs mineral engine oil, it is the equivalent of the ME forums’ Chinese vs Myford lathe debate.
Here is the expert advice from a guy who knows, with some interesting demonstrations on a bike with the handlebars mounted so they don’t turn the forks.
The Tony Foale article Diogenes posted a link to above gives an idea of the complexity of motorcycle chassis design and physics, just a small part of his whole book on the subject. Reading a few sample book pages on the linked site will get most of us scratching our heads!