It is definitely harder for women, especially at the beginning stages. It makes sense, little girls in the USA take dance classes and voice lessons while little boys play little league baseball, footbal etc. Of Course this isn't the rule, but it is just more acceptable. And when you factor in Gay/straight attitudes for men towards MT, then you get an even bigger drop-off. The numbers are just that much higer for women because they establish the skilsets much earlier.
In the Non-eq, New york Casting scene, it is a whole lot easier for the guys, but once you get into the union scenario, the numbers even out a little more(not so much to establish parity, but a little better)
Other than that, did you enjoy the play Mrs Lincoln?