I wouldn't recommend the super glue kickers I've used Claymore (Brian), 'cos they tend to turn the glue almost "iron" hard (though perhaps there are others I havn't tried). If you want to get the joint apart again (which in your case you obviously do) I would have thought that even with a little spray of kicker, splitting the joint again would damage the parent wood.
P.S. WTH is Wilkinson's? I only know of a razor blade company
A pinch of baking soda acts as a kicker Brian. It also sands a bit easier assuming you have sanding sticks that can actually reach into tricky places. Try it on a test piece first though because using too much can leave an ugly looking crusty deposit that's hard to get rid of. One trick I use is to put baking soda on one surface that's laid flat on the bench and superglue on the other then lower it gently into place.