Sexual selection would be searching for healthier genes if and only if genes mutated at a phenomenal rate ~ which they don’t. I think sexual selection has been pretty well debunked with the discovery that breast size, hair thickness and number of sweat glands and shape of teeth are under the control of a single gene ~ (http://www.nytimes.com/2013/02/15/science/studying-recent-human-evolution-at-the-genetic-level.html?_r=1&; ) ~ you’ll want to read that piece ~ same gene in mice as in men! The thing has GEOLOGICAL AGE STABILITY
I won’t try to disabuse you of the your hypothesis that “natural selection has been debunked” but the NYT article you cited, and with which I’m familiar, does not support your assertion.