Bushmaster Protected Mobility Vehicle - Wikipedia
According to Wikipedia you can fit a Bushmaster PMV on a C-130J-30 but it is not regarded as a reliable source on DT, so its up to the individual, whether to accept it as facts. It certainly would be a tight fit both room and weight wise and there maybe a fair few restrictions on aircraft ops, given the weight to height ratio compared to most loads.
The only source Wikipedia provides for C-130 lift relates to the lift of a troubled PMV in Afghanistan by Mi-26. It is interesting, but I don't think we will be operating Mi-26 in a major scenario.
I suspect the Bushmaster does not fit, or it barely fits but presents other major issues (as you say, the weight distribution). It isn't a game changer for Bushmaster or Strikemaster imo, two of each can be carried in a C-17 - while conducting an anti-ship mission, rapidly from a C-130/C-17 is a very different tactic from striking a land target using HIMARS. In all likelihood the individual pieces will be assembled in the AO before conducting their operations, as radar and FDC assets (as well as reloads, fuel, signals, etc) will be necessary for A2AD operations around key points.
Imo, the Strikemaster may end up taking the path of ROGUE Fires whereby it becomes an unmanned asset that can be plugged into or teamed with a manned system. Alternatively, and unlike ROGUE Fires, there is still room for crew to take control if necessary.
The Army is already embracing this technology in general.
There is also the future of littoral manoeuvre and Darwin's planned COE, if this all still ends up being considered viable after the DSR. Many of the craft proposed can carry four PMV, with a flotilla of these vessels possibly being capable of deploying a Strikemaster or HIMARS battery around islands and straits if necessary.