I would check further about carrying in NC while a resident with a Utah Permit/License. I do not believe NC law allows that. I could be wrong but I recommend checking further with authorities and do check with more than just one.
But the Question goes back to what is your state of residence. What state issued the drivers license you are holding now? IF it is NM you are still a resident of NM and you can carry in NC with your UT Permit/License. If you have a NC Drivers License then you are considered a resident of NC.
Again I would check further before carrying on a UT permit/license while a NC resident. Like I stated earlier I am not positive but I don't ever remember in my 15+ years of cataloging firearm laws that I heard or read that NC law allows residents to carry on another states permit/license. Here is what the AG says in his Pamphlet about the gun laws and Concealed Carry laws for NC. Pamphlet can be viewed at
http://www.ncdoj.com/getdoc/32344299-a2a7-4ae5-99fd-9018262f64ac/2007-NC-Firearms-gun-Laws.aspx
As of August 14, 2003, North Carolina also allows certain out-of-state concealed
handgun permittees to carry concealed handguns, pursuant to such permits in North
Carolina if the person’s respective state also grants such privilege to North Carolina
concealed handgun permittees. N.C. Gen. Stat. § 14-415.24(a) The list of states
granting such reciprocity, and therefore, recognized by North Carolina, is constantly
changing. You should refer to the North Carolina Department of Justice’s website at
www.ncdoj.com for a current listing of those states which are allowed to carry, pursuant
to their concealed carry permits in North Carolina. While carrying a handgun pursuant
to such permit, qualified out-of-state permittees are held to the same standards as North
Carolina permittees. Consequently, there are a number of areas where concealed
handguns cannot be carried in North Carolina, regardless of the individual having a
permit to carry a concealed weapon. Again, this list is set forth on the North Carolina
Department of Justice’s website. Also included on the website is a list of “Do’s and
Don’ts” for carrying a concealed handgun in North Carolina. In order to acquire a
North Carolina permit, an individual must apply to the sheriff's office in the county in
which he/she resides.