You can get an LSD tranny man but please read my other post down bottom man. There are clearance with regard to the clutch plate and the fan in your civy is too thick so you need another out of a Delsolio or a FAL. My friend did this swap in a hatch man and it honestly cost 6500 to but the fin thing in. He also needed a hondata to regulate as well. I think if your going to spend the money get a Type R man. I know the way your thinking. It looks appealing price wise. As in the comparison between the 2 prices off the bat the H22 looks to be the choice but holy mutha fuka it wont be a fun swap.
That was my first choice as well. I was going to go with an H22 head on top of an H23 block. 2.3L
That is until I found out how hard and costly it would be