I was just thinking about this, and didn't want to start a new thread if one already existed so I'm just gonna use the argument that the empire would defeat the Yuuzhan Vong to talk about just how destructive the Empire really was.
K, so in space, they had an incredible number of ships. Some of these were star destroyers, super star destroyers, dreadnaughts, and so on. These ships packed enough firepower to turn entire planets to rubble within, I'm willing to say hours.
The Yuuzhan Vong ships are powerful, but they're not capable of out-fighting the Empire's size, numbers, and firepower.
As far as superweapons are concerned, The empire still takes the cake. The Death Star, Sun Crusher, World Devastators, Galaxy Gun, D'vouran, and the entire Chiss Ascendency.
Dovin Basal is a powerful Yuuzhan Vong weapon, but nothing the Yuuzhan Vong have can handle the sheer firepower of the Empire, and ultimately, the Empirical superweapons can also cause more damage.
Some people have argued that the Vong would decimate the empirical stormtroopers in battle, since they're more destructive and more capable of taking damage, and without Jedi, there would be very little that could defeat them, but I think those people underestimate the sheer number and power of the empire's soldiers.
There are endless numbers of regular stormtroopers, Phase III Dark troopers, Triumphant-class dark troopers, Black Hole dark troopers, Exogen-class dark trooper, Dark novatroopers, Glory-class dark troopers, Inquisitorium dark troopers, Purge troopers, Imperial Elite guard, novatroopers, Riot troopers, shadow stormtroopers, shadowtroopers, shock troopers, Storm commandos, The Royal guards, Sovereign protectors, Imperial shadow guard, Imperial Senate guard, Imperial Senate Sentinals, and Scout troopers.
And they can just hire bounty hunters.
Those are just the troopers and guards. The Empire also has force users, such as The Emperor's hands, The Emperor's Reach, The Emperor's Voice, THe Emperor's Eyes, The Inquisitorius, The Dark Side Elite, and the Prophets of the Dark Side. That many force users, while not as effective as Jedi, are still close enough in my opinion to be able to take on the Yuuzhan Vong the way the Jedi of the New Order did.
The empire also has walkers, which should be helpful in combat on planets.
There's also Project Starscream, which gave the empire the technology to reanimate corpses into zombies, create a plague as a biological weapon, a machine which steals the Force from force users, something which can turn people into wraiths which aren't alive, but not quite dead either, and an "army of terror" with hundreds, if not thousands of soldiers who were as hard to kill as Gen'Dai, could change form at will, were almost immune to the force, and use the enemy's greatest fears to haunt them. So yeah.
Top that with Admiral Thrawn, Darth Vader, and Palpatine's Force powers, and you've got yourself a victory against the Yuuzhan Vong.