A huge percentage of rapes are committed by straight men against other straight men in prison. Although there is certainly a sexual gratification element to that, it’s widely known that prison is a dominance hierarchy on steroids and that prison rape is an integral part of dominance posturing.
“Research has shown an international link between poverty and sexual violence around the world. The Centers for Disease Control and Prevention lists poverty and lack of jobs as community risk factors for sexual violence.”
In other words, rape is most common in communities with higher percentages of people who feel they don’t have much power in the world. The CDC is hardly a feminist organization. The preponderance of research simply does not support your assertions.