Advice on airplane physics

You could set friction to close to zero. Although, in the best of worlds, you have anisotropic friction – sideways, the friction is high; front/back, the friction is very low. (Like, 0.01 or something)

Regarding takeoff, assuming you model the lift force as some function of airspeed, you don’t need any particular additional boost; just get the plane to where the lift is strong enough.
To get a little more realism, you may want to make the airspeed-dependent lift increase with positive attitude, to simulate pitching up causing the plane to want to lift more. And then there’s flaps…

That being said, video from the game you linked looks like it’s not simulating flight at all.
One thing you could do is simply to turn off gravity, and determine for yourself what speed and lift you want the plane to have, in velocity space, not force space. Then drive the actor using velocities, rather than forces. This will be a lot more old-skool and a lot less physical, but if that’s the gameplay you want, then that’s what you can do.