Ubisoft just issued patch 1.05 on PlayStation 4 for The Division that fixed the double UI issue.
The patch weighs in at a hefty 4.5GB and more fixes will be coming soon. The official Twitter account for The Division tweeted about it as well.
PS4: We have deployed a client patch (4.5Gb) for the Double UI issue. Please make sure to restart your game.
— The Division (@TheDivisionGame) May 31, 2016
Thanks, VG247.