My wife's also a non-com. We had, I think, eight non-coms in camp at Rag this year, out of a total of 33 in camp. We value our non-coms highly. They are the ones who do most of the cooking, the camp cleaning, the laundry, the shopping, the meal planning, the party planning... basically all the fighters have to do is show up and fight, because our non-coms have taken care of most everything else. Some of them sew, some do some leatherwork, and some just have good organizational skills.
This year, we did two things to make our non-coms feel more included. First, we established an official place in the Legion for them. They're now our Coven of Succubi. They all got masks to match the rest of the unit, and they have their own distinct belt flags of white linen with a black and pink iron cross on it. Every Ragnarok they attend, they get a chevron on their flag. It's not really rank, as such, but it helps establish their place in the pecking order, both amongst themselves and with the fighters.
Second, we made sure they had valuable, meaningful tasks to accomplish. Our Thursday night Soiree was all them. The menu planning was all them. Lots of logistical and operational things got delegated to them. This gave them something to do during the days, and a sense of purpose and belonging.
There are a few things, though, that Echo mentioned above that also are important. Non-coms should know their place, and not try and act authoritative in discussions of combat, weapons or tactics. They should be helpful and useful, failing that they should be unobtrusive and quiet. And above all: NO DRAMA.
Basically, we need them to "drink the Kool-aid", to want to be a part of the unit, as opposed to just someone's accessory or ****-pillow. There's a lot they can do without fighting, but they have to want to.