I did my first playthrough as a seldarine drow and I gotta say - I was shocked at how many extra lines of dialogue you get compared to something like a high elf (my 2nd run), you feel a bit extra special compared to the other races, that's true. What I didn't like was the fact that as a drow, the entire goblin camp is just too easy, they basically brown-nose you to the max. But I totally agree that there should be a lot more hate towards drow in general, I do hope that once we reach the titular city, we'll encounter some hate, even if we play a 'good' drow and go out of our way to help everyone we met before that.

Also, speaking of extra lines - Zevlor says something along the lines of 'you are brave not to hide your heritage' as a drow specific line, so it makes me think that once we reach Baldur's Gate, we'll have to wear a cape or a cloak or something to disguise ourselves.