Okay, I see a couple of things you can try.
First off, you're running an older version of Java. You -really- need to update it, anything before 1.7_10 has a massive security vulnerability that can grant a program the same level of user access as the account has, although since you are on Linux it still can't get SUDO unless you do something silly like login as ROOT.
Second, it doesn't mention what version of LWJGL you are using... this generally indicates a fairly common Linux-only bug. You see, the version of LWJGL packaged with Minecraft is 2.4.2. That's not good enough for running it on Linux anymore. You'll want to update. You can find it
here. Then replace jinput.jar, lwjgl.jar, and lwjgl_util.jar in your /minecraft/bin folder, then replace the entire contents of your /minecraft/bin/local folder with the appropriate Linux local files.
You will need to do this for every unique instance until we update to 1.6.x, the new vanilla launcher takes care of this problem for us.
