That doesn't match my impression of the start of it. The article's first mention[1] of racism is this:
A lot of what people find eyerollingly stupid about EvoPsych is actually a product of the media [...] or almost as often pseudoscientific loons [...] misreporting or misusing the results of EvoPsych. For which EvoPsych proponents can’t be blamed, other than for not doing more to combat this abuse and misrepresentation of their field than they should be [...]. Indeed EvoPsych proponents should be more involved in publicly combating the nonsense that their science is abused for (including racism, sexism, and misogyny).
which is saying not "evopsych is bad because racism" but "evopsych may get a bad reputation because of racism but that's not evopsych's fault and its proponents should be fighting abuse of evopsych". (And "because it allows for gays" seems actually to be "because it offers an explanation for the otherwise puzzling existence of homosexuality".)
[1] There seems to exactly one other, which is made only in passing and seems clearly unobjectionable.
"evopsych may get a bad reputation because of racism but that's not evopsych's fault and its proponents should be fighting abuse of evopsych"
Well many critics of EvoPsych accuse perfectly correct parts of EvoPsych of racism because they don't like the conclusions. True, maybe Carrier doesn't do that specifically in this essay, but I think it's only fair to expect critics of EvoPsych to be more involved in publicly combating the nonsense accusations some of the critics make.
The evolutionary origin of human behavior is doubtless a valuable scientific field, but the way the research is currently being conducted raises several concerns.
By request from readers, I've added some excerpts: