Are you using a trainer-specific quick release skewer with it? Something like this?
Edit -- I see you use a steel "axle" which I assume is this.
You shouldn't need to tighten the trainer so much that you fear for your bike's life. Can you post pics of your mouting points for the trainer and pics of the bike mounted in it? Is the quick release coming loose from the bike? My trainer skewers have much less clamping force for a given QR lever force than my regular riding skewers.