I am guessing you took an oath similar to this:
"I, _______________________, do solemnly swear (or affirm), that I will faithfully execute the duties of the office of ___________________ of the State of Texas, and will to the best of my ability preserve, protect, and defend the Constitution and laws of the United States and of this State, so help me God."
"I, ________________, do solemnly swear (or affirm), that I will faithfully execute the duties of the office _____________, of the City of Lewisville, State of Texas, and will to the best of my ability preserve, protect and defend the Constitution and Laws of the United States and of this State and the Charter and Ordinances of this city; and I furthermore solemnly swear (or affirm), that I have not directly or indirectly paid, offered, or promised to pay, contributed, nor promised to contribute any money or valuable thing, or promised any public office or employment as a reward for the giving or withholding a vote at the election at which I was elected, or if the office is one of appointment, to secure my appointment. So help me God."
so I guess it depends upon how much priority you place upon to the best of your ability preserving, protecting, and defending the Constitution of the United States.
There is nothing that REQUIRES you as a law enforcement officer to demand to see the person's license to carry. As solus pointed out - Joe Citizen is under no obligation to show you a license to carry unless you demand it.
Yes my oath was similar to the top one, I am a state employee. However it is not up to me to demand the ID/LTC it is written that the holder of the LTC is required to disclose their armed status and present the DL/LTC at that time. Not doing so is actually a chargeable offense, but my dealings with people that had their CHL (LTC) have always been pretty positive and usually result in a warning issued or even just a verbal warning if at all possible.
Generally the people that have gone through the process of taking the class, getting the background checks and paying the license fees aren't willing to risk losing anything by being stubborn. These encounters are almost always traffic related. I am very pro-gun, and a huge carry advocate, I obtained my CHL (now LTC) and when I am off I carry on the license, usually burying my agency ID in the back of my wallet and unless absolutely necessary I do not identify myself as anything other than john q public when I encounter other officers that do not personally know me already.
As many have alluded to, if I am not in the official performance of my duties and have reasonable suspicion that you have done anything, then you do not have to talk to me or show me anything. But unless I have a reason to contact you I am going on about my business and you go on with yours.
Contrary to popular misconception, it was the police chiefs and other appointed/elected officials that opposed open carry, rank and file officers generally had no issue with it and since the law went into effect there have been no issues related that have been reported, we did the update training there were some town meetings held and everyone went about life as usual on January 1st.