Yes they will, I had a 2500 bad land and the same mount.
The hardware that came with the badlands was junk. I broke the winch after 5 uses. Line jumped the drum and wedged into case locking it up. Good thing my buddy was there with a 9k winch on his Jeep to keep me from rolling end over end down a massive hill/obstacle.
I replace the winch with a Superwinch Tera 45
Couldn’t be happier with it.
Yikes, thanks for the reply. I already have a new Badlands 5k so I will use that till it breaks. Typical harbor freight. After that I will probably follow your lead to a better winch.