I'm not sure what they were using for their "detection match". We didn't see them ping us on the astral so they must have identified a matrix device or something, though the "matrix contact" didn't come until later. It might have been handy to have the commlinks from Johnson 1 and 2 to see who THEY were communicating with, but oh well.
The folks in the chopper likely belong to whoever we stole this from. The folks that just attacked us were likely affiliated with Katsina, or from some third organization that opposed her. She'd have to check in with Dalia to be sure one way or another. Multiple people want this artifact, no doubt. Those we took it from want it back, those we took it for obviously want it, and those that sent Katsina to waylay us are also interested. Them referring to it as an "idol" and Katsina's comment about destroying it destroying the world means we have religious significance applied to it. The Nately's appearing to be part of some secret organization makes me think we've landed ourselves in some secret cult turf war over the item, though it may be utterly unrelated. But something is niggling the back of my mind and making me think they aren't.
Gloria worked for the Altantean Foundation, so that might be another avenue to explore for info. Heck, breaking in to her files at the Aspen IT&T might prove useful though I suspect they probably have a pretty good host, so it was probably something we should have attempted while in Aspen where we could have gained physical access.
The nanites add a third player - between cults and secret organizations, we also have inscrutable machines with their own unknown agenda. Probably should have taken the time to do an Assensing check on our attackers to see if any of them harbored the infection. Probably not if they were all contractors.
Rereading the communication sequence I think the entire conversation depicted was before the engagement. I had read "spirits out" to coincide with them appearing in the RV, but I think this was all prep before they attacked. Which means the matrix contact is ... no, still confusing. Them detecting our hidden icons? Detecting Ohanzee flipping his gear out of running silent? Either way, I suppose it makes more sense than before.