I like to ride a Kajhiit!
They actually do ride Senche-Raht Khajiit. Why they're also called "Battle Cats".
I want them to let me fight people while on my Horse.
Yeah, that's what they're trying to code in now. They don't want to implement mounts that you can't fight on. What Todd meant when he said he didn't want horses to just be Jeeps. The Deadly Reflexes Mod for Oblivion allows mounted combat (http://www.youtube.com/watch?v=PTbkhsVHHEE, you see the Mounted Combat at 4:29), so i don't see why Bethesda can't code it in too.