In my aero course we plotted the pressure distribution around the airfoil from ports at intervals on the wing section. The largest pressure variation was pressure reduction over the top of the wing with a mild increase in pressure over the underside and a pressure spike aligned with the leading edge at the stagnation point.
At it's root it's all Newton - the difficulty being that it's Newton applied to statistically significant numbers of individual molecules. Bernoulli is handy because it is far easier to measure the air pressure and velocity than it is to account for a number of particles so large I have no idea what the prefix would be. Bernoulli explains the relationship between pressure and velocity and, by including density, also includes energy. This eliminates the need to consider all the motions of individual molecules which simplifies design, especially for such things as pitot-static sensors.
If you want more amazement look at the source/sink/vortex mathematical model. One places a source of air at one spot on a 2D plane (geometry, not passenger) and a sink and one gets streamlines. Add more sources and sinks until there is a boundary that matches the airfoil and add a vortex component that causes the air to turn. Sometimes called the Circulation theory of lift it allows understanding airfoils without Newton or Bernoulli.
When people say "How does a wing produce lift when it is upside down or how does a flat plate produce lift" the answer is "poorly."
Still, if one gets a little distance from the airfoil one can see that the downward flow from a level-flight airplane has the same momentum as required to offset the weight of the aircraft, no matter what the shape and that is Newton's contribution.
In subsonic flight the most interesting thing is that air at some considerable distance ahead of the airfoil is getting shoved forward. This makes the most sense when such flight is mentioned as "incompressible." The wing is moving so slowly compared to the speed of sound the air can just move out of the way. This is what produces the lower speed on the underside of the wing - the distant air is getting slowed relative to the wing. On the upper side the wing is making a gap into which air flows, increasing the speed of the distant air relative to the wing. It does this without a change in density.What is changing is the dynamic pressure, exchanged with the static pressure.