I think white has the edge here because of the long term target on the a-file, and the bishop pair. I'd probably force an endgame by retreating the a5 bishop and piling the heavy pieces against a7.
Be1 Qxa4 Rxa4 basically forces black to help you towards those ends.
At this point the game was abandoned (yay I win :D). I'm not sure how it could've progressed and I'm having trouble analyzing the position. My dark squared bishop is doing absolutely nothing and I'd love to trade it off. I have some significant pressure on the queen side and my pieces are slightly more active than his. It seems to me that White has an advantage, but I have no idea how I would use this advantage to secure a victory. I'd love some insight from all of you on the position, and I'd also enjoy comments on the rest of the game.