I think a COMMERCIAL driver license, as opposed to a Non-commercial class B can be a double edged sword, and a lot of what happens depends on the cop.
Just from the posts here, it appears a cop may hold a CDL driver to a higher standard and that works against the driver. But, unless you are doing something really stupid, I get the sense the cop may see the CDL and believe your livelihood is at risk if he hangs a big offense on you, and he may let you slide.
Personally, if I was a cop and some guy in a Prevost was blowing by everybody (which I have seen a lot) and he did not show me a license that proved he had the driving skills necessary to drive a big bus, I would go out of my way to spank that guy.