I think I was misunderstanding you. You aren't talking about a battlegroup, you are talking about a (US) regimental sized organisation, that sits somewhere between a battalion and a brigade. The pentomic/pentropic organisation re-invented. That invalidates some of my points about the need for a formation HQ, but the force generation and task organisation points remain valid.
You compared your battle groups to a USMC MEU. It is important to understand that MEUs are not standing formations. The HQ element is permanent, but everything is is simply attached from other various other standing formations. The infantry battalion will come from an infantry regiment, the gun battery will come from an artillery regiment, the tank platoon from a tank battalion etc etc. They come together, train for six months, deploy for six months, and then are released back to their parent formations. It is exactly the same as the way that Australia generates the ARE/ARU/ARG (other than the fact that the marines deploy at the end of the training, where as we just sit on our packs ready to go).
The point is, the USMC still use in barracks organisations (in their case, the division instead of the brigade) to conduct force generation, and then task organise for deployment. That is exactly the same concept we use now to generate our forces.
A Beersheba Brigade is a task organised unit.
How often is the contingency going to require the exact orbat of a Beersheba Brigade? Rarely, so you adapt your unit to the requirement as a Battalion based group would.
A Beersheeba brigade is NOT a task organised unit. It has been deliberately designed to be an in barracks organisation for the conduct of force generation, so the various components can be task organised into battle groups as required. The point is, it contains all the unit-sized components of the combined arms teams. Need a mechanised infantry battlegroup for some warfighting? Sorted. Need an engineer battlegroup for some reconstruction task? Sorted. The fact that Beersheeba brigades exist demonstrated that we are focusing on the battlegroup, just task organised battlegroups. If we were worried about fighting with brigades, we'd be organised into a divisional construct instead of independent brigades.
I am not sure I understand your point here Raven. If you need more tanks add more tanks from another battalion Group.
No, you can't do that, as you don't have any higher HQ to draw them from. How, for example, would you create proper tank squadrons if each battle group only has nine tanks? Where does the SHQ come from? The A1? The HTTs to move them all around? If we need more than one squadron of tanks, who commands them? There is no regimental HQ in the Army to do that. You could have a collection of nine-tank capability bricks all answering to the infantry battalion HQ, but that is not the same thing at all. The Army is more than collections of equipment. You can't just throw three tank troops together and pretend you have a squadron, any more than you can throw two or three battlegroups together and pretend you have a brigade.
Sorry Raven I don't know what TTFs/TTWs are.
But whatever they are, if you need more add them.
Add them from where? You have no CSSB to draw them from. You could add more first line support from another of your battlegroups, but that is not the same thing.