He's not a hardcore racist who will bash down and deny others, but he definitely has sour opinions about races and religions.
This is formed by his experience though.. What he sees is that races who were once great and powerful (and that is all of them in Thedas) have become weak and diminished. Fewer humans are born with magic and where once their mages were treated fairly (and often revered) they are now treated as little better than slaves and cattle, dwarves are dying out because their connection to the Fade has been cut off.. huge portions of their empires have been taken over by Darkspawn, and they lock themselves in their two remaining cities and underutilize the majority of their population due to the caste system, kossith are now following a ridiculous religion that leaves no room for personal opinions or individuality.
And the elves have been reduced to living hand to mouth, being treated even worse than Circle Mages are treated (and Maker/Creators help you if you are Circle Mage and an Elf) in tents and city slums. He is racist because people have devolved due to his actions rather than evolving to be better and they are not the people he knew. .. It is more blame the victims because blaming himself would make him suicidal than it is racism because he hates everyone but elves.. Thedas is dying which is not what he intended. He was trying to save it by locking the gods away etc so he hates others just as he hates himself.
Thus I see it as more misdirected self hatred than hatred or bitterness towards others. And it is misdirected because while he locked away the Gods, freed the slaves of Elvhenan, and placed the Veil he is blaming himself for the things that happened after that - things that are not his fault. The Elves, the Humans, the Dwarves, and the Kossith made their own choices at that point and it is they who should own him.. But then it is rather expected that an ancient elven "god" should have a "God Complex" that tells him that everything that has gone wrong ever is his fault even when it isn't.