"Does CBM in the man's leading in anyway help in make the lady dance the heel turn or any turn for that matter?"
Yes, think of CBM as beginning a turn or declaring your intent to turn by rotating your body. You rotate your body while your path of movement across the floor is yet unchanged, which foreshadows the change in path that will follow a step or two later.
"Also are CBM and CBMP foot psotion related to each other in any way?"
They are related visually but not functionally. CBMP is a position which appears as if it could have resulted from the use of a strong CBMP, but the term is generally reserved for situations not caused by CBM on the present step.
"Is CBMP foor position the result of CBM"
CBM often results in a position hard to distinguish from CBMP, but the term CBMP is never legitimately used for a position of the moving foot achieved by CBM rotation during that same step.
Instead, "CBMP" is used to indicate a position achieved by carrying through a side lead from a previous step; most commonly carrying through the result of CBM rotation two steps previous. (Note that CBM and CBMP can co-occur, for example on the first step of a natural turn in many situations, but the CBMP in that situation is destined to occur due to the pre-existing body orientation, and the CBM rotation is danced on top of that.)
There's a second rather sneaky usage, which is that during a pivot allegedly the CBM rotation of the body results in the DEPARTED foot's position being redefined as CBMP. There's some question if it's really dance that way though.
Finally, no mention of CBMP would be complete without pointing out how closely CBMP is associated with outside partner (and promenade) actions.