I train at an MMA class twice a week and am horribly nearsighted with astigmatism. We box, kickbox, grapple, etc.
Being in the -9 and higher diopters makes lasek out of the question for me due to cornea thickness issues. I had stopped wearing contacts, as it was hard to find a comfortable disposable that corrects astigmatism in -9 and up. When I started class, I saw my Dr, and he was able to find a newer disposable lens, and discovered that my current lens prescription was over corrected. We found some comfy contacts, and I was in business.
In terms of contact sports and lasek, I'd be careful. The procedure reshapes your cornea, and it gets thinner. There are risks for impact injuries and cornea damage.
For contacts, I've been fine. We usually spar wearing head gear, and I have yet to get a contact knocked out. I did lose a lens while grappling when a classmates thumb pushed it out. I didn't have a spare lens or my glasses with me, and learned that its much easier driving home when you carry back up corrective lenses.