I played the division beta for about 8 hours yesterday. It was a great game, but it's hard to compare. Destiny is a fps first, rpg second, anyone whose played destiny and hasn't found that out needs to play a real rpg. The division on the other hand is clearly going to be rpg first and shooter second. This scratches a particular itch that I'm sure other people have that can be consoled only by games like fallout. Now as far as "sweaties" go, no the DZ isn't going to get nearly as bad as the crucible. I don't feel like there is a competitive prospective to it, just a drive for loot with a chance for malice.
Therefore what we get in the end is two games that aren't only in the same genre based on a real stretch, so it's down to person preference. Oh and how tired you are of destiny.
TL;DR:
Destiny=shooter first, rpg third
The division= rpg first, shooter second
PvP's= not even close to comparable.
It's basically gears of war and GTAV. Find cover wait for the shot, shoot 1 billon headshots, get good gear. Wait for extraction, get wiped out by 3 rouge agents, lose good gear. Rinse and repeat.