Is there spring tension on this garage door part?
When the door is up on the track there is weight on it but when the door is down only the weight of the track is at that location.
Those vibration isolators are really made for compression. I use them on some motor loads they are nothing more than 2 bolts with a cast rubber holding them together. There would need to be some kind of safety device for when the rubber fails so your door and track are not damaged when they break.