I just released the first version of this very simple plugin to dump a log of the ST2 console into the disk.
The plugin is available at https://github.com/yrammos/SublimeLog.
Please note that I've only been able to test this on a OS X, so please do let me know of any issues should you have a Linux or Windows machine.
The package is not yet available via Package Control but I will submit it there as soon as I have a couple of confirmations that it works well on Linux and Windows.
Instructions and important notes are available on GitHub.
As a collateral benefit, this plugin should meet the needs of those who have been wishing a separate console window. To do this, just open your terminal and run:
tail -f ~/.subl.log
… possibly replacing ~/.subl.log with the path and name of your log file.
This will provide you with a live stream of the ST2 console output in the terminal window.
On Windows, the tail command is available as part of the GNU Utilities for Win32 package http://unxutils.sourceforge.net/.