From a CCW lawyer’s website “Usually...an applicant is considered to be of good moral character if they pass the required background check and do not have any serious documented instances of poor judgment in their recent past. Of course some issuing authorities may use trivial incidents as a basis for denial.”
Obviously any felonies would disqualify. Maybe certain misdemeanors if recent like violence or public intoxication. I don’t know how deep a background check they go into, but if I had to guess it would just be mostly a criminal background check.
Hope ya never need to actually use it there. The juries are well known for hating white folk and most of the judges are leftist.