I'm pretty sure it will bind like hell if you don't use it, before ruining the clutches, of course. Order some Redline (I think it's the 75w-140) or Amsoil Severe Gear if you want good diff fluid that will already be pre-mixed with the correct amount of Friction Modifier. Otherwise you'll have to add FM and then test out whether or not you get binding, ad more FM, and so on. It's a good system that will treat you right if you tread it right, and it NEEDS FM. Get your Jeep some quality Redline.
By the way, I'm surprised to say I've never heard of Santa Theresa, New Mexico. I thought I'd been to or at least heard of every town/city in New Mexico, as I spent the first 20 years of my life there, growing up in Albuquerque. I've (of course) heard of Santa Fe, but not Santa Theresa. I know Las Cruces, Grants, Farmington, Cuba, Chama, Taos, Las Vegas (NM), Alamosa, Alamogordo, Silver City, Carlsbad, T or C, etc, etc. But never heard of Santa Theresa!