I just finished the game and, first off, let me say that knowing what I know now about the game, I would definitely buy it again.
The game does follow parts of the first season, but the one disappointment I have---SPOILER ALERT (highlight to read)---is that, outside of the whole frozen-head-thrown-onto-Dexter's-hood scene, there is no interaction between Dexter and the ITK. Will the makers of the game add the rest of that storyline in a future update? If that's the case, I'm buying the update.
As for the controls, the double-joystick option is not as easy to use as the single-joystick option, but when swiping across the screen to move, as you do with the single-joystick option, your finger may sometimes cover the message buttons on the right side (examine, pick lock, etc.), so that if one pops up as you're searching a room, it's harder to notice it.
The tilt-to-move option wasn't incredibly responsive.
As for the awesome music, it's exactly what you hear in the series, as are the character voices (or most of them, anyway). And that's very cool. Also, I have a similar response when playing the game as I always do when watching an episode: I slip into total immersion mode and the outside world just falls away -- always the best feeling to have when playing a video game or watching a show or movie.
I finished the game, but I didn't get every clue (I'm thinking that having more clues open to you may depend, in part, on how you respond during conversations). My final score was Mask: 531.4, Dark Passenger: 910. Unfortunately, I really have no idea what these scores mean...
So for me, the game is great - the music, the atmosphere, the voice work. You really ought to check out at least season one though, since you like the game. Compare your responses in conversations with what 'really' happened ... 
