I would tend to disagree. Your thinking behind an evolutionary need for competition is sound but not ubiquitous amongst modern generation's male population. For example, certain men fear and abhor competition, likely because they have a history of being defeated at it, but these same men may still be candidates for misogynistic attitudes. Moreover, it is shortsighted and single-minded to suggest that there is only one, or that there is even a main reason for sexual intimidation. Consider the possibility of seeking a mate using backward and medieval strategies, or sexist attitudes manifested through a lifetime of experiences, learned behaviour from a peer group, the role of the media in objectifying women, and so on.