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Let's say Vongs have infiltrated the galaxy like in NJO, sending spies to various planets to induce chaos for many years before the invasion, undiscovered as in NJO.

1. Hutt Empire
2. Rakatan Empire
3. Eternal Empire
4. 32 BBY Galactic Republic (Phantom Menace)
5. 7 ABY New Republic (barely established)
6. SWTOR Sith Empire + SWTOR Galactic Republic
7. 19 BBY Galactic Republic (end of Clone Wars)
8. prime Galactic Empire

Determine how much effort they need.

1-6 is a massive curbstomp of historic proportions.

7 may be a danger with the Jedi + Palpatine + Anakin (and his potential), but conventionally the Vong seem to have an enormous edge.

8 is unclear, I'm not sure which military is going to have the edge, and the Empire does have some trump card superweapons in the Maw along with Sidious himself. It's very possible they can defeat the Vong.

They stop at 8.