Let's be clear. If you are carrying, you must provide CHL ID along with Driver's License or other valid ID; per Paragraph 6.43, of Chapter 3: DPS Rules Relating to the Carrying of a Concealed Handgun in Texas. It appears if you are not carrying, you do not have to provide your CHL license, but I would agree it is a good idea to do so.
MI law is the same. I believe that I should be the one who decides which police officers and under what circumstances I share that information with. Honest officers are in no more danger from me than I am from them. In the case of dishonest officers, the danger level goes up for both sides.
In MI they say that CCL's are not flagged to the license plates. You can believe that if you wish. A friends wife was harassed about her not showing her CCL when driving her husbands truck. It is not a problem now that she has one, but when it happened, she couldn't show what she didn't have.