You need to read Proficient Motorcycling, and More Proficient Motorcycling, by David Hough. And maybe also Total Control by Lee Parks, and A Twist of the Wrist by Keith Code (both about higher performance street and some track riding).
What you are doing in your turns where you go too wide, and with your brakes is wrong, and you do not want to get into a high side crash.
If you are too wide on the turn, it is because you entered it too soon, an early apex. You are better off with a delayed apex.
If you are going too fast into the turn, it is because you didn't slow down enough before you entered the turn.
If you cut the throttle to slow down and try and negotiate the turn, you are shifting the bike's weight to the front wheel, taking weight off the back wheel, and risk the back wheel losing traction and sliding out. This usually results in a high side crash when the rear wheel grabs the road again..
If you hit the front brake a little too hard going around the turn you risk a low side crash.
The only way to make sure you stay upright is it steer the bike straight and brake in a straight line, but that may take you into the other opposite lane or off the road.
You may be surprised, but you have a better chance of surviving a hot turn doing just the opposite of what you are doing. You actually should lean the bike over more and give it a little throttle to gain more traction and get around the turn - the opposite of what you are doing.
You should be doing most of your braking with the front brake, and if that is not providing most of your stopping power, it needs to be fixed or you will be seriously hurt.
Generally - The front brake is for seriously slowing or stopping the bike, the rear brake is for low speed maneuvers like slowly going around a tight turn, helps to keep the bike upright. Both should be used in a panic stop, front first, then rear. If the front tire skids, let up on that brake, then reapply in a progressive fashion, don't clamp on it all at once. If the rear wheel skids, stay or stand on that brake until the bike comes to a stop or you are going in an exactly straight line at a slow enough speed so you don't high side when the wheel regains traction.
Most times the bike will take care of you, like you said, but you have to tell it the right instructions in order for it to do that. I'm glad to see that so far your bike has done that regardless of what you tell it, but study and read some more instead of giving bad advice about what you do. I don't want you or anybody else on here to get hurt, so take my comments as constructive criticism and not as a negative attack..
