I disagree that half the tonnage when using the absolute worst-case scenario(heavy armor division) 'adds up well.
I'm using the averages here...
Take a look at the list of vehicles here and divide the number of vehicles on the around 15 US divisions fielded:
http://en.wikipedia.org/wiki/List_of_currently_active_United_States_military_land_vehiclesI didn't bother to check your other numbers, mostly because it's clear you were thinking in terms of weight, but that's all irrelevant anyway.
Please don't claim I am wrong when it's clear you didn't even bother to check the numbers for your own claim yourself.
A single prime mover (truck) would take up a volume of 2.5*5*25 = 312.5m^3 volume or 110 tonnage (GRT) volume. That's far more then its empty weight in tons. Is it less for a tank? Yes around half volume GRT, but most vehicles are not tanks and would be about equal in GRT and tons being somewhere between a tank and a truck in density.
It doesn't matter if you use volume or weight, a modern mechanized division will take up loads of both to move.
It is failing to account for half of the available space.
Your failing to account for that to carry stuff you need a container around it and an ability to drive it on-off like ramps and some clearance.
To carry heavy stuff in space you need really heavy containers and heavy duty ramps.
Also we have not even started on how much crew accommodation space 15'000 soldiers in aurora would need, we are talking about transporting them for months here, aurora even displays how many ton per man you need.
We also only talked about the weight/volume of vehicles, nothing about weight/volume of supplies (for months) and ammo (which a normal artillery piece can consume tons of in a single day of combat).
. . . because it's actually 2500 tons (of volume) to transport a 5 size ground unit (a battalion). Which makes it 2500 tons for 1000 soldiers, roughly. Which I think is perfectly fair. Two tonnage per soldier with 500 left over for vehicles and supplies. It was the reported size of 125 per division that was making the numbers go all wonky when the math was done backwards.
Ok, then I am going to argue that the size of a low tech tank division is certainly far too low.
For infantry without much vehicle or heavy gun support those numbers might work.