That's not the Honey Badger. This is the Honey Badger.
I'm 100% positive that's a HK417 (MR308) utilising the G28 handguard in black. Here's a better picture of it from the video showing the rail, flash hider and receiver.
Here's a H&K HK417 and an MR308 for reference.
There's several parts that are the same. The flash hider. The front rails/handguard design (including the notch right at the front on the top rail). The receiver design.
So could this be a new rifle, or is it just a background weapon for cinematics that accidentally made its way into the hands of a Division agent? Can /u/ChrisGansler clarify this if possible?
I can only confirm that there are weapons in Episode 3 we haven't mentioned yet. :)