If you want these to be applicable to Fighters, you probably want to make them all Combat feats.

Also note that Gunslingers were an Alternate Class of Fighters, so you can check out the Playtest version to see how well that worked. Personally, I like the current version better for the most part, though some deeds aren't as good as they used to be.

Finally, I think your take requires way too many feats, especially the mount. It doesn't help TWFers or Vital Strike chain to be required to take feats incrementally increase their use and keep them relevant, this feeds into the same problems, especially if you want to be actually good at either branch, since the Tactician side requires you to pick up Teamwork feats on top of them and the Mount side generally requires you pick up Mounted Combat feats, leaving you entirely behind everybody else. Archetypes would be a better method, for which there are already two archetypes that do that Fighters, the Dragoon and the Tactician. The Dragoon and the Roughrider don't provide a mount, so perhaps you'd want to boost them, replace armor proficiencies or something.