Did you have any success with getting the studs in? I have to say that video made it look easy to remove and re-insert a new one, but then again, things looked a bit different than what your picture shows (or at least seems to)? Have you tried a puller on it (assuming it can be removed in that manner)? I wonder what the heck is holding it all together?
One thing I do know, if it doesn't feel like it's going to budge - don't keep going. More than likely, something will break - and whatever it is, it will be expensive to fix (or your injury will be). Instead, stop - and re-assess things like you're already doing. Something is keeping it together (hopefully it ain't something where you have to tear half the front-end off just to remove the stud).