I got ya beat, Dan. I picked up a very new Craftsman Professional laser-guide radial, exactly the same as the one still in the catalog for almost $1000 CDN, at a rancher's yard sale two years ago for $80 CDN. It had been out in the weather so all the bolts were rusted quite badly, and the carriage head had been knocked hard so the actual cast aluminum trunnion plate was broken. One call to Sears and a $29 replacement part later it was up and running like new. I don't know about yours, but the trunnion on mine can be adjusted to be a bit tighter on the guide rails so it takes more effort to pull the carriage towards you. A little resistance here can make it a lot harder for the carriage head to runaway out of control, though it can be hard to find a happy medium between being too tight to pull easily or too loose to offer any advantage.
To be honest though, if it's grabbing and running at you consistently enough that it's a real safety hazard, I would try replacing the blade. Radials do not do well with an aggressive blade, such as a ripping or even a combination blade. They do even worse with a dull blade, since they just want to grab and pull rather than cut. I bought a Freud Ultra Crosscut 80T blade for mine for a bit under $50 and it was well worth it. With a good strong grip (like you're firing a handgun) I've never once had that blade try to run at me.