In any society, there are those that stand to profit from a change of the status quo (currently manifested by Progressives and minorities) and those that profit from retaining the status quo. (traditionally wealthy, or landed people.)
Those that profit from retention of the status quo will see conspiracies everywhere, because there really *IS* organized effort to try to change that status quo they profit from-- hence, "agenda!". In this case, we have a conservative demographic that profits from a status quo (vestigial religiously inspired morality law concerning sexual activities that they profit from, as it justifies their contempt for alt-sexuality, by associating it with illegal, and thus immoral behavior) seeing a "Gay liberal agenda!" in those that seek to overturn that status quo (Gay people who do not want to be put in prison for having gay sex, because of silly sodomy laws that were inspired by the bronze age's brutality) because the latter really *IS* actively trying to table that status quo. (there really *IS* an agenda-- that agenda is the removal of these absurd laws.)
The conservative agenda, conversely, is to strengthen, reinforce, and stonewall any "deleterious" changes to the status quo. (where "deleterious" == "Will disadvantage me, personally", and where "Me" == the conservative person in question.) This is because they are all about conserving their power base, be it financial (conservative with money, to accrue additional reserves of capital) or political (conservative with clemency, to accrue additional power via enforcement and social acceptance.)
The issue, is that neither side is capable of seeing that they do in fact, have an agenda.