I am guessing you are a college student and a liberal university. Am I right? You don't think women fight amongst themselves or men amongst themselves? What would make you think asexual humans would not fight amongst themselves?
I'm a college student doing a bachelor's degree in Electrical Engineering.
Yes,I do think men and women fight amongst themselves.But in asexual mode,there would probably be relatively less things to have problems over.
I'm only trying to imagine an alternative.