I'm unclear on your complaint. If the barrel moves side to side it's a pivot thing. You can tighten the pivot screw to a point. The shoulder of the screw will bottom out on the threads in the fork at some point and you can tighten no further. Many replace the original plastic pivot washers with brass or bronze. If these washers are too tight it will pull your barrel off to one side. I have attached instructions for pivot washer build. The other possibility is poor latch up of the barrel. You may need to lube or polish the alive jam. You could also need a stronger spring.