Hi rider,
yes, the Argo will do what you want. The actual DTC unit connects to a special set of encoders. So, in your case, you would buy a set of encoders for each of your mounts, and one DTC to share, as programmer has said.
Note: Seeing as you'll want to go back and forth using the argo on 2 mounts, you'll need to align each scope in the argo each time you swap over. If I'm wrong, Gary from Wildcard will let you know.
Knowing him, he'll reply here shortly, but I can also assure you you will get quality customer service if you email wild card directly.