First off I would like to thank 02V8Sport for his write up on how to do this. Without his initial write up I may not even attempted this. I took his info and just thought that I would add to it to try and help make it even easier, the following is what I went through changing the bushings out in my wifes 02 LS Sport.
Bushings needed (again this is for 00-02 Sport)
http://www.energysuspensionparts.com/proddetail.asp?prod=Lincoln_LS_Front_Sway_Bar_Bushings#
OR
http://www.energysuspensionparts.com/proddetail.asp?prod=9.5171
Tools Needed:
1. Jack and Jack Stands
2. Impact and proper socket size (mine was 3/4) or lug wrench
3. Penetrating Oil ( I used Kano Kroil, I think it's the best you can get)
4. 1/4" drive socket wrench
5. 3/8" drive socket wrench
6. 5/16" socket
7. 7/32" socket
8. 10mm socket
9. 13mm socket or ratcheting box end (I used the box end)
10. 15mm socket or ratcheting box end (I used the box end)
11. 18mm socket or ratcheting box end (again I used the box end)
12. Channel Locks or Crescent wrench
13. Lots and lots of patience, or beer
First thing you are going to need to do is jack up the car and make it safe and stable.
Then you need to remove your wheels.
Once your wheels are off liberally apply your penetrating oil. Then allow it to sit for a minute or two.
Next I loosened the upper control arm 18MM nut
I then removed the pinion arm 18MM for better access to the strut bolt and nut (I ended up using the box end with the channel locks as a hold back to stop the whole thing from turning)
Then I removed the endlinks 15MM
I then removed the lower strut bolt and nut (nut is 21MM bolt head is 19MM)
(didn't get a picture sorry)
Then I removed all the splash shields, the large piece under the car and the smaller piece in each wheel well. There are 2 different size bolt heads 5/16 and 7/32
The small black ones are 7/32
The silver ones are 5/16
Now you can start removing your sway bar bracket bolts 13MM
I got the driver side off with out any issue, I used the ratcheting end wrench for the lower and I used a long extension with a universal in the end (3/8 drive) the get the top one. Had to go in through the engine bay. The passenger side however was a little more difficult. I had to remove what I assume was the DCCV. All I know is that without removing the bolts and pushing it out of the way there was no way to get to the top bolt (sorry I couldn't get a photo). There are 2 10MM bolts that were very difficult for me to get to one on the front side and one on the top, to remove. I used my 1/4 inch drive for those. Again for the sway bushings I used the box end for the lower and the long extended socket wrench through the engine bay for the top.
I just pushed the bar up a bit and took the old brackets and bushings out, they (the bushings) were totally shot.
Apply the grease that you are given with the busings (I know ES has it not sure about other brands). Replace the brackets and bushings, and just reverse the above procedures. Took me around 4 hours or so to complete everything.