{JAMMERS! -Evil!- ONLY!}Great! I'm planning on taking the High Pass, RedHorn Pass, Hollin and the Dimrill Dale, and then defend those and that's it until All the 4 points are conquered.
{JAMMERS! -EVIL- ONLY!}Mt Gundabad is going to be pressured a lot from the three HQs close by. I would hole up in there and prepare for a siege, setting up traps there for the unavoidable siege.
I'm going to focus on Gondor and DA with my fleet and the Haradrim, and I also plan on claiming coastal regions all along Middle-Earth. If I can get an army behind Gondor at S. Ithilien I think I can defeat them, especially if they have to commit forces to defend against Mordor as well. Reinforcements to you in at the Misty Mountains rely on a quick and decisive victory at the Gondorian front, which would result in a siege of Minas Tirith, and a victory at the sea battle. If more ships could be built and sent down the Anduin by Mordor it would help greatly in the battle against DA as well. Not necessarily with troops on board, just pure NWE.
Now, the only problem with your plan MM is that they will overwhelm you at either all the places or one. Again, I suggest holing up in Moria and fighting inside the Mines, using the natural environment to your advantage such as the bridge and the small entrances. If they don't attack Dimrill immediately place a skeleton garrison there to chip off as many troops as possible, plus leave traps. Hollin can be defended though as there will be little pressure there as EE's forces will be split up claiming regions and defending the High Pass + Redhorn.
If Rhun could bring troops to attack Erebor and those surrounding HQs they could be locked into that general area, but not by direct confrontation, just by skirmishes and attacks on less well defended regions on a wide belt, forcing them to spread there forces thin on the ground, perhaps creating an opportunity to storm in.
Isengard should focus on helping MM and oppressing Rohan to keep them busy, while using the Dunlanders to claim regions off EE and to defend Hollin a little.
This is just a rough guide for us to start working on, we will refine it as time goes on, as I know it isn't great. But then, what do you expect from my head Oh, and Thrawn, I can't wait to hear your opinion