At the time the broad statutory definition of "sodomy" included orogenital contact, period--which meant between members of the opposite sex, too.
Whether the homos were behind the straight people wanting to engage in activity even between a husband and wife (man and woman) covered by the broad definition in those laws or not, the people I heard who were for repeal of the laws wanted more sexual freedom in their own, straight, bedrooms--without the threat of possible incarceration for sex acts with their spouse.
The homos were solidly in the closet, and could get their butt seriously kicked if people found out. There was NO 'protected class status' for them then whatsoever.
That fight wasn't even about Libertarians, it was about getting the government out of straight people's bedrooms.
Your Republican Liberty Caucus group naturally took the pro-homosexual action of fighting a sodomy and gay marriage law proposed by Texas republicans.
Here is a list of fellow pro-homosexual agenda groups considered working for the gay agenda within the right, by this homosexual site.
http://www.lavenderbutnotpink.com
Homocon Organizations
Log Cabin Republicans
Gay Republicans.
GoProud
The Rattigan Society
Gay Objectivists.
SOLO: Sense Of Life Objectivists
Gay Objectivists.
Outright Libertarians
Gay Libertarians.
Republican Liberty Caucus
For gay and gay-friendly Republicans.