Man, you have to wonder if they actually planned to have a Gremlins commentary track or just flat out went 'fuck it, we in Gremlinland now'.
I went ahead and also watched Gremlins 2 again, since the last time I saw it was on VHS still. So many references, including shitting on its own prequel. So awesome.
Also, while I did see it before, I never got the 'Dr Quartermass' office reference. That was a (productive) character written by Nigel Kneale, who also wrote the Halloween 3 first 'draft' in four weeks. He disowned it and it got retooled to some degree by the director, but I'm pretty sure a lot of it survived into the eventual movie. For some reason I've never actually seen any the Quartermass movies (1950's production though, so that's probably why).
And I really, reeeaaally want to see president Clamp now. I can see it now: The savior of New York, making America build again.
Until the gremlins return, find themselves out of the times in a gadget store ("TV!" and then discover it's flat and all) where they get bored (a first), until they discover... Youtube. "it's gonna be great! it's gonna great! hehehe!"
I mean, it would be relevant, and kind of within the 'found footage' assignment Max Landis got for it. Found footage isn't comedy though, since a character can't be in on the joke. But you could make some viral videos with it, so that might be fun. 'Gremlins in the White House' sounds more in the spirit of 2 though, while going in all those Die Hard wannabee's today.
Also, the effects of the gremlins melting and such still looks amazing.