Well not sure if anybody had posted this before or suggested but I am currently working on my front axle and I think I stumbled on what it looks like very easy way to remove cone washers.
1. Remove all the nuts
2. Spray cone washers with WD40 to remove rust . If there is a lot rust use steel brush to clean them out.
3. Soak them in ATF fluid (I used small brush) 10 min in my case
4. Take a brass bar and hammer.
5. Place bar on the side of the driving plate in one of the half moon notches. First place the bar at 90 degree angle and hit with hummer (sort of like trying to spin drive plate clock wise) Two hits with hummer
6. Now move brass bar to the back of the notch and hit with hummer (like trying to spin drive plate counter-clock wise. ) and Hit twice.
If you lucky all six cone washers should just pop out from their seats.
If not try again changing direction every two hits.

Hope that helps.....
PS. I will edit this post later to add the pics
1. Remove all the nuts
2. Spray cone washers with WD40 to remove rust . If there is a lot rust use steel brush to clean them out.
3. Soak them in ATF fluid (I used small brush) 10 min in my case
4. Take a brass bar and hammer.
5. Place bar on the side of the driving plate in one of the half moon notches. First place the bar at 90 degree angle and hit with hummer (sort of like trying to spin drive plate clock wise) Two hits with hummer
6. Now move brass bar to the back of the notch and hit with hummer (like trying to spin drive plate counter-clock wise. ) and Hit twice.
If you lucky all six cone washers should just pop out from their seats.
If not try again changing direction every two hits.

Hope that helps.....
PS. I will edit this post later to add the pics