The funniest things about the good-bad list is that only one of the things on the list had anything to do with race, to say it's the new face of racism it seems awfully uninterested in race.
These radical internet atheists at the heart of the alt-right movement are anti-God, anti-liberalism, and anti-immigration.
What are you on about? Vast majority of alt-right are at the very least spiritual, if not specifically Christian. Beliefs range from Cosmotheism and other Nietzschian-derived philosophies, to Odinism and other forms of Paganism, to the various Christian sects. And there's even some 'Hinduism' and Esoteric Kekism thrown in there. It goes along with the belief in there being a purpose to life (preservation of one's own people, etc.) and the appreciation of traditional values. Within the alt-right there are very few who are open atheists, so your statement's just completely false. The alt-right is a very religious movement, but that is not its origin nor its end-goal.
it is radical atheism that will ultimately usher in racist nationalism in Europe, not islamism.
I think I see where you're going wrong though, and where you may nevertheless have the right idea. With the decline in Christianity that has occurred, as well as the eschewing of traditional values and a sense of actual rootedness, comes a nihilism which has afflicted a huge number of people. On response to this is the alt-right, which goes against the nihilism for the most part. Another is one which actually embraces it; namely atheism. It's a symptom and not a cause, essentially. So the nihilism creates secularism which is accompanied by atheism. However, this is a broadly separate phenomenon from the rise in racialism - which is in part due to the rise of Islam (sic: the rise of immigration from muslim countries) in historically White/Christian countries. This response is perfectly natural. Even the increase in nationalist sentiment is just a response to another more long-lasting problem, which has been the increasing hostility toward host Western populations since around the 50s/60s. It's mother nature trying to reassert herself in a highly unnatural and aberrant state of affairs.