On the track:
Pretty much as you described, at least as a starting point. In reality there is no universally correct riding style. Motorcycles are so complex in control input that even when it works for MotoGP rider Benzol Petrol de Gasolini there is no guarantee an exact duplicate of that style will work for anyone else.
At any rate, how many of us do anything
exactly the same as anybody else?
Once you rack up sufficient track time on two wheels you will begin to listen to the messages the bike is sending you, interpret those messages, and make the necessary tiny adjustments to body position and control inputs to be sure the messages you're getting are more or less what you want. Make no mistake -- knowing how others are doing it is a great way to prevent the worst of the mistakes (and attendant crashes), and as a jumping off point is considerably loftier than having to figure it out for yourself, as I did.
Yes, I have the scars to prove it too.
Definitely take classes, watch instructional videos, hell just watch racing when you can, but most importantly RIDE!!! Only then are you internalizing this information and refining it to knowledge.
As to trail braking -- yes, it is a good skill to have under any circumstances, but an ability to do this absolutely requires being able to "feel traction", or more properly read the bike and act accordingly. Simply stated, it is a technique for entering a corner where the front brake (on the track at least) is applied hard while still upright, then gradually released while cutting in to the corner, balancing the increased forces on the front tire from turning in with decreasing braking forces. Properly done the front tire will be sliding at about 85 to 90% traction from the initiation of the turn all the way to the apex, and the suspension will never really feel a change in load (doesn't move significantly) once set up for the turn. The rear brake enters into the equation as well, but more during exiting the turn to modulate power delivery to the rear wheel, again balancing the loads on the front tire between turning and acceleration as well as controlling rear wheel spin, again for an optimum 85 to 90% traction. It's a skill that takes considerable practice and experience, but once mastered opens up a whole new realm of control.
See this article for more information: Motorcycle Trail Braking - Motorcyclist Magazine
There are more advanced cornering techniques, such as using a sliding front tire to scrub off speed instead of the brakes by initiating a turn in the normal way, then turning the front wheel into the corner, sometimes with a bit of front brake to start the slide, and hold it in the slide sometimes all the way through the turn. I've seen some masters at it, most notably Cal Rayborn who could hold his awful Harley roadracer right at the hairy edge of disaster lap after lap, often overriding his brakes and scrubbing off speed by sliding the front tire right down to the apex, and while still pushing the front get hard on the throttle to slide the rear on the exit, modulating traction at both ends with body position and rear brake. Astonishing to see, and many a slack jaw amongst the witnesses.
The bottom line? There is no magic formula for riding quickly, or indeed any riding at all, that does not require a thoroughly ingrained instinctual knowledge base to draw from, and that
takes lots of riding and learning every second you're on two wheels.