Per the Auxiliary Manual, COMDINST M16790.1 (Series) Chapter 12, Sec. A.6. "Pledge of Allegiance":
Guidance regarding the Pledge of Allegiance is based in 4 U.S.C. § 4 which states, “The Pledge of Allegiance…should be rendered by standing at attention facing the flag with the right hand over the heart. When not in uniform, men should remove any non-religious headdress with their right hand and hold it at the left shoulder, the hand being over the heart. Persons in uniform should remain silent, face the flag, and render the military salute.” When the pledge is given, if a man or woman is seen in uniform saluting but not reciting it, then that is the likely reason for their silence.
In lieu of the above, when the Pledge of Allegiance is given, Auxiliarists, in uniform or not, may stand at attention facing the flag with their right hand over their heart while reciting the Pledge. If in uniform and covered, then Auxiliarists shall render the hand salute whether reciting the Pledge or not.