Yep.... threaded rod in there. At least the Bestop does. The whole lever is mounted on a threaded rod. Once you spring it open it reveals a threaded rod that you twist the lever around and that screws it in and out.
A picture I found on eBay of a OEM latch does not appear to have such an adjustment system on it. Might could be bent slightly or, like I said earlier, shimmed with a piece of rubber.