Most Folkish groups believe that Asatru is a Northern European religion and may limit membership to those with that ancestry. There is a lot of emphasis on the Ancestors and traditionalism in Folkish Asatru. Not all Folkish people are racists, although there are some who might think so based on the exclusiveness. Based on what you have said, I think you would be better off looking at Universalists - you might want to try The Troth. However, from what I can tell, both groups follow pretty much the same ritual formats and obviously use the same lore. It might be advantageous to see different viewpoints if it is something interesting to you.
I don't know much about Asatru, despite having a close Heathen friend. However, I do want to say that I can understand ancestor-based religions actually calling for followers to have that ancestry... it doesn't make a whole lot of sense, from that perspective, to venerate someone else's ancestors, although even that has some obvious exceptions, like marriage and adoption.
Then again, it's easy for me to say because I have ancestors from three continents.