I have two IL Competition joysticks which aren't stiff at all. I think these were made in Spain after Industrias-Lorenzo split from Suzo Happ, so much better quality. I did have a PAC Reunion stick that was way too stiff. What I did was disassemble the stick to get to the spring. Slid a bolt with large washers at each end and very slowly compressed the spring. Use a tape measure as you go - a little goes a long way. Plays great now:).
I did something very similar to this with some Happ competition joysticks, though it was a long time ago now. I found that the joystick springs were so bouncy that the joystick would often (not always) register in the opposite direction as well, so if you tapped LEFT you'd go LEFT and then spin back to the RIGHT!
Maybe one solution is to abuse the bouncy springs for a bit, but the way it was made games unplayable.
I also used some large washers of appropriate size (maybe 18-22mm? something like that) and a thin slice of neoprene hot water pipe insulation to shorten the spring and absorb the extra vibration (stop the bounce).
You can buy the foamed neoprene insulation in long tubes from the hardware store (plumbing section), and it is pretty cheap. Just buy a long piece and experiment with different size slices until you find what works. You have to make sure you cut neat and even slices, otherwise you'll distort the joystick movements.
I took some pics, but was a long time ago. if I can find I will post them.