Way late to the party (and subsequent 'witch hunt') but I'll throw my hat into the ring.
It's a really hard thing to say to some one to try one game before or over the other without knowing in detail what you like and don't like about a games mechanics, right down to the nitty gritty. Even jumping in to the middle of a series or starting from the beginning or end can put you off others more more than reasons solely because of connected story or mechanics.
So this comes on to the subject of Dragon Age. Now there's nothing wrong with wanting to play 2 before Origins and as you say you might prefer it more than the first but pretty much everyone I know who is/was a keen RPG fan, myself included that played Origins first felts like they had been violated by 2 (
in fact go seek out EviLore's OT, it's probably the best OT ever Edit: Found it! Worth a read for everyone). This is more to do with growing up with paper and pen, table top and older CRPG's that Origins, while really striping back on mechanics and the complicated lore of the older titles in the genre, brought back to the fore. If you played any MMORPG's in the last 10 years (and yes 'that' popular one as well) you will find the basic mechanics and character sheet and skills are quite similar with the added bonus of having the older CRPG style companions on your quest instead of some online yahoos.
2 on the other hand does a Mass Effect 2 and bins all that was great in the first game and turns it more into and Action RPG. Now that might be more your thing and no one can tell you what you should and shouldn't like (unless Argentina has introduced some new barmy laws I'm unaware of) but for people who grew up with and enjoyed the predecessors to Origins as well as the first game itself it's a massive slap to the face with the biggest, stinkiest fish you can think of. If 2 was a Risen or a Two World game it wouldn't get half the hate it does.
Bottom line is this if you want to get into the more tactical CRPG's Dragons Age: Origins is a great start before looking at something like an older game like Icewind Dale. Likewise if you like a great world to explore with a varied party Dragon Age: Origins should be you're first stop then look at Baulders Gate I and then II. If story is your thing then maybe jump straight into Planetscape: Torment as it plays a little differently (and not it's best strength) but has by far and away the best story in an RPG ever (and no that is not hyperbole). Reason I suggest Dragon Age: Origins first is that it's been paired back way, way more than the earlier titles and doesn't require the 200 page plus manual just to work out how to craft a character. Once you've gotten used to the paradigms of the genre with Dragon Age you stand the best chance of not being scared off by the classics.
On a plus side Obsidian's Pillars of Eternity is shaping up nicely (even after the Paradox scare I had) and Torment: Tides of Numenra is just entering production and hopefully on it's way for 2015. Getting into the genre now could really set you up for 2 great looking titles on the horizon and ones that I'm most excited for (even more than Dark Souls II).
Or seeing as you like Deus Ex, why don't you have a look at Vampire The Masquerade: Bloodlines. And yes the GAF hype is on the money with that game.