As far as I know, eSim has no US military contracts. West Point has an older version of Steel Beasts Pro. Most of the Leopard-using countries have it - the big exception is Germany, oddly enough.
The Department of the Army owns a version of TacOps that's essentially civilian version 4.05AM; the Marines, Canadians, Australians, and New Zealanders also own various versions of it.
The Marines have Close Combat Marines, which is pretty close to Close Combat Modern Tactics.
All of these are in my classroom -- like BFTB, COTA, HTTR -- but the use is pretty limited. I teach courses on Training with Simulations, and these are some of the sims that they play and then discuss, serving both as examples of a type, something to drive discussion about wider training with sims points, and to expand student's notion of the limits of the possible.