I have all three and I use all of them for different knives. For me sharpening is a hobby and I like to experiment with different styles and systems.
Some people collect knives, I collect sharpening systems

I don't know if it helps but here are my 2 cents.
I started my sharpening addiction in the late 70's when I bought my first 3-stone basic Lansky set with the old style clamp. This clamp has the notch for smaller knives and with it, it is perfect for medium size knives as well as traditional and Victorinox pocket knives. As these are the knives I use most, I use it almost on a daily base and for these knives I can get results that are comparable to the WE at a fraction of the cost.
That being said, I would only recommend the Lansky if you can get one with an older type clamp as the newer type clamps without the notch or the newest with rubber inserts suck. In another tread I wrote more about this incl. pictures.
Link
The Wicked Edge is the best and most versatile but the basic set is limited and best suitable for larger knives as it can not very well handle smaller and traditional pocket knives.
The basic set comes with 100, 200, 400 and 600 grid stones and these will give you very sharp knives and for most people these are probably better than anything they ever had and all they need but if you are anything like me, you will soon want to buy additional stones / strops to get more refined edges.
I started with the Pro Pack I which I than upgraded with the Pro Pack II upgrade kit, 1200/1600 ceramics, 1.4 micron/.6 micron ceramics and several leather and Balsa strop sets.
The low angle adapter and the new Gen III clamp are next on my list.
The knives I sharpen with the WE are my larger kitchen knives and a few larger tactical knives.
The KME is a wonderful system. It can handle small knives as well as larger knives. It has a permanent place on my desk were it doesn't take up a lot of space and is always at hand. I use it to re-profile my smaller knives, quick touch-ups and all other knives.
Price wise I think it is one of the best systems available and the customer service is second to none. As per June 1st the standard ceramic/Arkansas kit has been discontinued and the diamond kit now comes with 4 Gold Series XC-140, C-300, F-600, and XF-1500 diamond stones and shipping within the US is free so I would certainly recommend to buy it directly from KME as other outlets might still be selling the old configuration.
There are a lot of accessories available at very reasonable prices so it is easy to upgrade the system should you want to. The stone holder also accepts standard 4" stones so you can also use 3rd party stones or for example easily make your own strops. I also sometimes use the stone holder with the Lansky or other clamps.
They are not yet listed on the KME website but I heard from Ron that they have a couple new accessories coming out very soon like aluminum and glass blanks with diamond lapping films and a radius guide rod that produces a convex bevel geometry.
Frans
p.s. I think the KME can very well handle the Junglas and the gold series diamond stones are of great quality will last a long time.