I'd like to thank everyone who replied to my question. I still think the military patch is a bad idea and the Scoutmaster agrees with me. (I am a committee member.) However, the Committee Chair now says that the patches are okay because they do not have identifying numbers or lettering on them. His son (a Patrol leader)and the ASPL both are sporting these patches--not so much as Patrol emblems, but to indicate that they are members with the longest service. They want newer members to wear a different military emblem and members with service in between to wear a different patch--even though they may be in the same patrol. My son, the SPL, has been in the troop a full year longer than any of the other boys and hasn't agreed to wear the military patch--mainly because of pressure from me--but he wants to fit in with the rest of the guys.
I know that badges of rank indicate experience and I see no need for these military "patrol emblems". Besides, members of the troop leadership--SPL, ASPL, etc.--are not supposed to wear patrol emblems anyway, right?