Once you get your party into the east end of the southern hallway, you'll probably need to switch over to Solo Mode to prevent them from attacking the enemies that are following you, at least until they retreat far enough from the middle entrance so that the enemies stop endlessly coming at you. If you're having trouble surviving the mere journey to this corner, then that whole difficulty setting joke might not seem so funny to you. But, in all seriousness, there's a point in every game where "challenging" crosses the line and becomes "frustrating," and this section of KOTOR will no doubt drive many a gamer perilously close to that precipice. If you find yourself not having fun, by all means, knock that difficulty down a bit.
If you can get your whole party into this corner, you should be safe...for a while.
Anyway, your party is now in the southeastern corner of the map, hopefully calm, cool, and fully recharged. Save. Your. Game. You will have noticed that there's a small room nearby, marked on your map as the "computer room." Charge up your party with the usual suspects: Force speed, valor, aura, and the like. Break into the computer room, take out the Sith, then quickly hack into the computer system. Shut down the sentry turrets first, and then, if you have enough slices left over, use the computer to generate the "customized Jedi robes." Once the generator makes your item in laboriously slow fashion (keep in mind that the game doesn't pause while you're on the computer, and that Sith are no doubt rushing towards you, so keep things speedy), pop over to the bin and pick up your swank new super robes. These are, for Light side characters, called "Star Forge Robes," and for Dark side characters, "Darth Revan's Robes." Put them on your main character right away, since they're obviously the most powerful robes you're going to find anywhere in the game (the +5 to Wisdom, at least, will increase your saves against all of the Dark Jedi's Force powers), then hit speed on all of your characters.
Now for the semi-tricky part. Sith are probably pouring out of the southern corridor's main entryway and heading towards you as you do all of this. You can try to fight them if you wish, but a quicker way to get the hell off of this deathtrap of a level is to just run for the exit. Unfortunately, you can't force your fellow party members to run alongside you, so you'll have to pick one of them (preferably the one with the least vitality), and sprint over to the western end of the southern corridor, where the elevator to the next level is. Once your chosen character is right on top of the exit, switch Solo Mode on and switch to one of your other characters, then rush them over to the elevator. Repeat the process one more time and, assuming everything goes well, you'll be on your way to the Command Center. If one of your characters dies, then switch over to the other characters near the elevator; eventually, the game will warp the dead character's body to where your active character is, so wait for this to occur, and then head up to the next level.