Actually you do meditation. Just because "science" finally acknowledged and formalized the power of doing what your second paragraph describes, it doesn't stop being precisely what Buddhism has advocated for millennia with insight/vipassana meditation. You actually don't have to sit down in lotus position (or lie in bed) to practice meditation, that's but a convenient time and setting of intensive practice, but the goal is to have meditation be an all-encompassing activity permeating your life.
Many techniques of contemporary dance, for example, are meditation. They teach you to be aware of your full body in motion, fiber by fiber stretching and contracting, moment by moment. It's meditating on bodily impulses, not consciousness ones, but a trained dancer in action has in any case no consciousness of anything else but her body, rhythm and the abstract meaning (i.e. the image) of that, but those three get dissolved into one in dopamine and that's what people call "incorporating", you lose the sense of self.
CBT is the medical approach to mindfulness. You're looking at mindfulness through a microscope, that's why you can't quite make out the shape of the subject.
Many techniques of contemporary dance, for example, are meditation. They teach you to be aware of your full body in motion, fiber by fiber stretching and contracting, moment by moment. It's meditating on bodily impulses, not consciousness ones, but a trained dancer in action has in any case no consciousness of anything else but her body, rhythm and the abstract meaning (i.e. the image) of that, but those three get dissolved into one in dopamine and that's what people call "incorporating", you lose the sense of self.