I recently joined n-Side (an optimization company) and yesterday I introduced CP to my colleagues having rather a MIP background. So my yesterday "ennemy" was MIP (OK I agree that this is a bit provocative and the comparisons below are slightly insencere ;-) )
and explained that even if every one agrees that MAC is clearly superior over PC, MAC has only 5% market share. CP is the MAC of OR, less used ... but better ;-)
ps: let me now if you find/ use other funy comparisons when you introduce CP.
disclaimer: these comparisons only reflects my strictly personal point of view.