I have to say this attitude makes me viscerally angry. Men have a much higher incidence of heart disease, so maybe women should not be forced to pay for that? Men engage in lots of unhealthy, risky behaviors, but I've never heard a woman make a statement analogous to yours. It's like saying "Well I'm not handicapped, so why the hell should I have to pay for special accommodations for those people?".
If you accept that socialized healthcare is a good idea, then it seems to follow fairly obviously that we're all unique and will have individualized healthcare needs.