Dragoon or Monk

[Daega]

..we're here to discuss whether a Dragoon or Monk is more useful in a raid environment.

My question would go down such as:

Which of those two is more helpful in end game raids and pvp.

Raid: Greywolfamakir makes a good point as far as utility.

Easy answer:
Battle Litany > Mantra
Piercing Debuff > Blunt Debuff.

MNK has Int down which is very nice for magical damage. This can also be used by DRK.

PvP: Dragoon has probably had the best burst damage in pvp for a long time now, but there is new pvp coming very soon so "Please look forward to it". With the max level sync'd to 50, Monk has the utility with OIP, silence, mantra, and the special skills.

Which End game armor looks better?

Neither. The Law gear looks horrible IMO. Alex gear is getting better. But there are many many new outfits that work very well for glamour and can make yourself look very unique.
The new AF armor is not out yet besides several trainers or w/e you can see which may be the final say, I don't know this. Either way this is all personal choice and can be looked up on market board or ffxivdb.

And which of these two right now does the highest dps?

Supposedly DRG on dummy's with parse and MNK/NIN slightly behind. But this is not a major factor. Any class can out dps another if they play better than the other. So if you pick DRG and suck at it then it doesn't really matter does it? As a monk I am consistently top dps in almost any group I'm in unless it's aoe. Even then I'm still extremely high with the new skills like Elixir Field and PB Rockbreaker+buffs.

This was actually the OP question. My point still stand that it doesn't matter which you choose. Pick the one that you enjoy and have fun with. You can make ANY class DRG/MNK or other work fantastically if you play it well.

Hope this brings it back on focus.