Yea, I would use PDO as is, I hate seeing wrapper classes used with PDO.

Also, even consider autoloading? I haven't looked through much yet, but in logikit.php I see a ton of includes. In the framework I wrote I handled excluding a lot of that using an autoloader of sorts. It was handled customly (not just __autoload) and worked great.

The framework I have for personal use is really just a pretty major rewrite of Kohana, but its been stripped and so much custom added that I don't even really consider half of it to be Kohana anymore. Speed wise I've been able to pull just under a meg of memory used per pages ( well pages that don't use Xajax, that tends to cause it to rise abit ) with about the same functionality of Kohana.

Either works like a good start, keep working on it.