Lift will be the most critical, I think.
And not just in dropships, but also jumpships.
She has eight dropships and a minimum of 24 collars, without looking at that Vigilant Corvette.
They need more collars.
They also need a Newgrange Yardship.
I think she might want to have a talk with that friend of hers, seeing if there is a possibility to gain full access to that Newgrange, when the time comes.
A couple of Snowdens would help as well, I think.
They need a Newgrange class Yardship, a M9 and two to six Potemkins, to pull off what they want to pull off.
If possible, two Newgranges, so they can do upkeep on each other.
But if wishes...
Edit:
As for all the above, time is very limited, so do not expect miracles. No massive factories, and all that.
Grap the key elements (lost tech) and the needed data to make it from the grounds up, including schooling data.
They need a Helm, New Dallas and that school vault Hanse Davion raided, at the minimum.
Basically, they need a Snowden, a Argo and a foldable mobile dockyard, in terms of starting setup or simply a Newgrange or two.
Might want to look at seeing if a Princess can be used as a mobile hospital or so.
And the wrecked SDS stations, especially if they have a Newgrange, might let them carry away some fun stuff, quite easilly.
Like say filling up that enclosed dock with factory machinery.
The only way the House Landgrap of the Hegemony can be prevented, is to strip it all clean.
Or getting the SDS back up & running at the outer edge of the Hegemony.
Knowkedge is a sword in the making.
But that won't work, just like airlifting everybody of those worlds.
No, the only thing that could work, is re-activating everybody, after Kerensky and his deserters, has left and hoping they can then last long enough.
Otherwise, the Hegemony is death.
Look up the early M2/M3 units of the SDS, they used a certain tug as it's basis.
Thus one angle to look for, because being able to later on, make both versions...
Same with the Lola III M5 and the defense stations of the SDS.
Plus the Explorer Grav-deck, with them, it's possible to field a large fleet of warships, with a small crew pool to man ships with.
Think Bolo, here.
Camelot Command & Columbus, might actually become important.
Same with Gabriel, if they can get to if, fast enough.
Which means starmaps and ID codes, same for the two hidden SLDF shipyard systems.
It would let them make data copies and make themselves, a starters set, if needed.
But can they get that data?