I emphasize honest science here because pro-gay activists have used dishonest methods in the name of science on several occasions, whereas conservative Christians have been prone instead to dismiss the value of science at all.
For two examples of dishonest pro-gay science, consider Alfred Kinsey's report, as critiqued by (Reisman & Eichel). And consider the 1973 removal of homosexuality from the list of developmental disorders in the Diagnostic and Statistical Manual (DSM-III) of the American Psychiatric Association (APA), as documented in several places, but most thoroughly and most recently by Socarides ([1992], [1995]). Neither Reisman nor Socarides is writing from a Christian point of view.
Examples of dismissing science as irrelevant at all are harder to find, being a sin of omission rather than of commission. David Wilkerson's Two of Me is perhaps an unfair example because it is a short book with another focus, homosexuality being only its main example. I mention it because the author is well-known. (Wilkerson) Andy Koornstra, a pastor of Koinonia Christian Fellowship in Waterloo, recommends a deliverance ministry. (Koornstra)
One way to pit science against faith is to contrast holiness and wholeness, as David Wells of Gordon-Conwell Theological Seminary does in these words:
We evangelicals are feasting on the crumbs under the psychologist's table and trying to make a meal of it. You hear it in the language, where being good is translated into feeling good. We're getting a Christianity that is more interested in wholeness than in holiness. (Woodward 63)