Yeah I think that's likely: if they become a large company with multiple large contracts, they'll end up spread over the US.
Heck they're already doing a little bit of spreading out. They have a significant test facility in Texas along with some engineering offices, and are building a new facility in Seattle to build satellites. I don't know if this is strategic/political or just happenstance at this point though. For example I believe a big motivation for the Texas site was that they were able to buy facilities off the defunct Beal Aerospace cheaply.