FIX IN THE COMMENTS

Running OS X native launcher on OS X 10.11 (El Capitan) Developer preview 8, says legacy Java SE 6 is needed and not available for 10.11. With newest JRE and JDK launcher will not run.

the only log changed is from the nativeUpdaterLog.txt. No other logs were made that I can tell.

Can go into package content and run the Minecraft Updater getting the 2nd corresponding screen shot.

Deleting Minecraft Launcher and replacing with clean version doesn't fix the issue. Running /Applications/Minecraft.app/Contents/MacOS/launcher before updating will show it as damaged.
After updating and running launcher log is shown here:

Admins-MacBook-Air-2:~ admin$ /Applications/Minecraft.app/Contents/MacOS/launcher ; exit;
2015-09-11 12:52:33.566 launcher[4224:81878] Claimed it found a path: /Applications/Minecraft.app/Contents/MacOS/launcher () 4096
logout
Saving session...
...copying shared history...
...saving history...truncating history files...
...completed.

[Process completed]

However it will come back up saying legacy Java SE 6 is needed.