I'm familiar with the II Timothy quote, for which the standard response is that having spiritual authority and religious doctrine does not mean that the laws of physics, biology, geology etc. are subordinate to a Bronze Age text, compiled by people who knew none of this.
The Leviticus quote is a wonderful display of double standards, because if you take up that line as the absolute truth, you then have to follow all the other tenets of Mosaic Law as absolute truth (not wearing polyester, not eating shellfish etc.) The Corinthians quote in the article is all very well, but I wish that everyone took such care of themselves, rather than using it solely to condemn homosexuality. There's ten things mentioned there and only one ("effeminate") can possibly relate to homosexuality in any way that doesn't reference heterosexuality as well.
It's a shame that people never reference Jesus talking about homosexuality. They always have to fall back on St Paul or the Old Testament.