Speaking as a non-conservative, I find the implication that conservatives believe women to be incapable of management offensive. I believe conservatives would say that there is no single and simple answer to the question but that it has do with the differing career and life goals between men and women--the priorities and decisions that men and women use to guide their decision-making. This is how conservatives explain the wage gap, and the same logic would be applied to the management gender gap. As a non-conservative, dismissing their argument about the wage gap (which boils down to, "You're telling me I could pay $0.72 on the dollar for equal skill? Why in the world would I ever hire men?") out of hand is isolating yourself from a genuine criticism. I believe this introductory paragraph attempts to isolate its argument from genuine criticism by similarly dismissing viable counter-arguments as unworthy before it even begins.
I also find the article's juxtaposition of "conservative" alongside "chauvinists" a particularly underhanded and obvious attempt to imply that there is a great deal of overlap between these two groups.
If you actually believe conservatives think this way, you'll never actually convince them of anything because you're speaking at them as if they are children. You're not giving their point of view any legitimacy.