This whole ring gear thing has been beat to death. Nowhere in the ski-doo racing handbook or ski-doo factory manual does it say that without the ring gear your crank is going to be toast. My buddies shop has a 2 stacks of ring gears 4 feet high that they have taken off of every sled without e-start since 2007. They are a Ski-doo dealer and have never had a problem with crank failure due to the lack of ring gear. Ski-doo has never not paid a claim for a bad crank because there was no ring gear. You honestly believe that a ring gear is going to create more / less vibration by itself? Have you ever weighed all three arms, pins, rollers and weights. I guarantee that they will be off by a few grams every time, unless you take the time to grind them down so that they are all exactly the same. This lack of consistency in arm weight is going to cause WAY more vibration than a ring gear. (NOTE: I am not a ski-doo tech, dealer, or anything other than a normal guy with an opinion!)
Ditch the ring gear if you don't want it on, leave it if you are worried about it.