All considerations of logic and veracity aside...
...even from a strictly tactical propaganda point of view, these three positions make no sense.
They are desperately trying to come up with something, anything, that counters the swell of public support the LGBT community has generated in the population at large. Homophobia is the last traditional bigotry button they have left, and they seem determined to keep pushing it as long as they can before it is lost to them forever.