Looks interesting! I already use Git to manage version control for my WP sites, so it's probably not for me, but it could be very helpful for those who aren't tech-savvy enough to use Git directly -- i.e. 99.999% of the WP-using population.
I did, but I missed that bit. Which is bad! Having database versioning rolled in makes it interesting to people like me as well.
If the developers are reading this: move that info up to the top of the page! Currently it's buried down in the "Features" section, making it easy to miss. Don't hide your light under a bushel :-)
Why mysqldump instead of using the binary log? Just dump the result of SHOW MASTER STATUS to a text file in your git directory, back up your binary log files on a regular basis, and then you just use the stop position feature of the binlog utility[1] to restore to that point in time from the binary logs. A lot faster than doing mysqldump and a lot less likely to lock tables or slow down your database.