It’s based on a very indie comic book. I’m talking, the publisher (Arcel comics) doubled as a home insulation company. They were eventually bought out by a slightly bigger company called Malibu Comics, which was in turn eventually bought out by Marvel.

I’ve only read the first 3 issues, but the comic book was much more serious and it didn’t deal exclusively with aliens either. Kind of like X-Files. Kind of the point was that Agent K (and the rest of the MIB) weren’t necessarily the good guys, and J had to navigate how to deal with that. I’d be down for a time shift. Although, writer Ed Solomon came up with some pretty iconic things (that weren’t in the book) that they’d be remiss not to bring back.