Your “container” and “mobile unit” description reminds me of how St Francis used to call his body “Brother Ass”. He was always struggling to keep Brother Ass in line by imposing ascetic disciplines on it. It’s a compelling illusion, that feeling that there’s an “I” somehow riding around in the cockpit of this vehicle of meat and bone, but it’s so wrong.
Strict rationalists often poke fun at people who revere the Bible because it says that it is the “word of God”, but it’s hardly any better to believe that a pattern of thoughts is somehow “the real me” just because that thought pattern says, in effect, “this is the internal voice of the real me”. Really? Really?? Accept that claim as valid, and boom!, there you are riding around in your Meatmobile®.
To dispel that illusion involves more than just bringing awareness to what the body is up to, although that’s a good first step. You also have to let go of the illusion that there’s a you “in there” trying to connect to the body, observing it from the cockpit. That’s the thought pattern in operation. It interprets all experience in terms of an object of experience and an “I” who is the receiver of the experience. So when you turn your attention to the body, the body becomes just an object being experienced by some ethereal observing “me”. Boom!, Meatmobile® again.
It’s not until the thought pattern itself gets abandoned that the whole Meatmobile thing disappears. That experience isn’t so much a matter of “connection with the body” as a dropping away of “body” and “mind” altogether. That sounds weird, I know, but it’s something that most of us have already experienced in moments of complete absorption in experience. With that complete absorption, body and mind drop away, leaving just the raw experience. Top-level athletes learn that to perform at full potential, they have to get thoughts out of the way, especially the thought patterns that generate body and mind.