What he refers to is the fact that the name utilized by this group is in many ways similar to that used by neo-nazis, supremacist or otherwise far-right organizations in an attempt to both appeal to a conservative or radical audience and to put up a "front cover" of sorts, if you can call it that, that the group stands for racial or distinctly extremist values.
In addition to this fact, the presence of the Spartan helmet is also similar to iconography used by far-right groups with the same intent mentioned above: of bringing a sense of traditionalism in an otherwise xenophobic environment (aka to make your average Joe attracted to the group via the similarities it has). Besides this, there is also the fact that such iconography used in this specific setting is in many ways similar to the use of the swastika or Norse runes in banners/flags/what-have-you by extremist groups, with yours bring no exception, save for the last part (I most certainly hope).
If there's one solid bit of advice I can give in the most serious of manners, that's this: please change the name and logo immediately.
