You want to do a 3D motion track. This is not something Final Cut does.
FCP can do limited 2D tracking with plugins, but to do it that would look probably pretty bad.
You want to create 3D track information with something like Boujou, export the track info and create your 3D work in something like Maya or Cinema 4D, and then do your comping in After Effects or Shake.
To expect FCP, which is an editing program, to do all this is pretty much folly.