Throw the pickle fork in the junk metal pile.
Get one of these pullers.
Turn the bolt until you think it won't take any more and whack the link as close as possible to the joint. It'll pop right off.
I see your puller and raise you this one. Hands down a much better design. Load up the puller in decent tension and if it doesn't let loose, a tap with a hammer will get it. I've used this one hundreds of times.
http://www.harborfreight.com/3-4-quarter-inch-forged-ball-joint-separator-99849.html