The reason your ticket won't work if you laminate it, is because the tickets pass thru ticket readers, like at Disney World. You put the ticket into the machine, and it spits it out the other side.
The Fast Pass machines work in a similar fashion. You put your card into a slot, then pull it out fast just like a credit card when getting gas.
Use the zip lock bag and you'll be fine.
Some may say to get the $5 locker at the front of the park, and leave it there. I did this last time. But you'll need to bring it along to get the fast pass tickets as you exit each ride in the morning.
That's the new strategy because of fast pass. Get there early, go on each ride, and get a fast pass for the afternoon before they sell out.
Kinda of a bummer because I like to put everything in that $5, and go on all the rides with no worry about losing my ticket, but that can't be done anymore. You gotta bring it in a zip lock bag until you have all your fast pass tickets, then you can put them away.