The transporting a loaded firearm would be my bigger concern pertaining to the ability to obtain a CCW.
Luckily the statute was revised a few years ago and unlawful carry of a loaded weapon in a vehicle is only a $70 traffic citation.
TITLE 21 § 1289.13A. Improper transportation of firearm
A. Notwithstanding the provisions of 1272 or 1289.13 of this title, any person stopped pursuant to a moving traffic violation who is transporting a loaded pistol in the motor vehicle without a valid concealed handgun permit authorized by the Oklahoma Self-Defense Act or valid license from another state, whether the loaded firearm is concealed or open in the vehicle, shall be issued a traffic citation in the amount of Seventy Dollars ($70.00), plus court costs for transporting a firearm improperly. In addition to the traffic citation provided in this section, the person may also be arrested for any other violation of law