The official US policy towards depopulation is outlined in the
Kissinger Report (declassified in 1990). It's been a while since I perused it, but I recall it talks a lot about promoting abortion, increased female employment and female education rates to reduce birth rates, and directly champions eugenics via India's forced sterilization campaigns ["Similarly, there have been some controversial, but remarkably successful, experiments in India in which financial incentives, along with other motivational devices, were used to get large numbers of men to accept vasectomies"]. The report was compiled right as India was forcibly sterilizing at least 6 million men in 1975.
I'll have to dig into it again (it's over 120 pages and written in pure political gibberish), but I think the Kissinger Report doesn't directly reference sex itself, homosexual or otherwise. Transgenderism didn't really exist in the 70's when it was written, of course. I recall seeing some declassified CIA document that referred to the Kissinger Report and had a list of recommendations which included promoting homosexuality as a means of population control, but I can't find a copy of it anywhere.
The Kissinger Report is pretty fucked up though. It starts off mostly bitching about how several third world countries (and the Vatican) dared to challenge the UN's Plan of Action at some big UN meetup in mid-1974 (the report is mostly an attempt at creating a US version of the UN's Plan), then it goes into how the US government can coerce various countries to go along with depopulating their people, by getting leverage over their leadership or withholding food exports from those countries by use of priority quotas and the like, though this is all worded very weaselly in political lawyer-speak.
For example, in this passage the document talks about manipulating the populations of both third world nations and the US public, as well as coercing US politicians to go along with these policies by use of propaganda, threats, bribery, blackmail, and not-so-subtle pushing of puppets into leadership positions in these countries, but words it all like this:
"We should also appeal to potential leaders among the younger generations in developing countries, focusing on the implications of continued rapid population growth for their countries in the next 10-20 years, when they may assume national leadership roles. Beyond seeking to reach and influence national leaders, improved world-wide support for population-related efforts should be sought through increased emphasis on mass media and other population education and motivation programs by the U.N., USIA, and USAID. We should give higher priorities in our information programs world-wide for this area and consider expansion of collaborative arrangements with multilateral institutions in population education programs.
Another challenge will be in obtaining the further understanding and support of the U.S. public and Congress for the necessary added funds for such an effort, given the competing demands for resources. If an effective program is to be mounted by the U.S., we will need to contribute significant new amounts of funds. Thus there is need to reinforce the positive attitudes of those in Congress who presently support U.S. activity in the population field and to enlist their support in persuading others. Public debate is needed now. Personal approaches by the President, the Secretary of State, other members of the Cabinet, and their principal deputies would be helpful in this effort. Congress and the public must be clearly informed that the Executive Branch is seriously worried about the problem and that it deserves their further attention. Congressional representatives at the World Population Conference can help."
In line with your question, the report very directly outlines how they should focus on indoctrinating young elementary school aged children to undermine their cultural and historic tendency towards large families:
6. Concentration on Education and Indoctrination of The Rising Generation of Children Regarding the Desirability of Smaller Family Size Discussion:
Present efforts at reducing birth rates in LDCs, including AID and UNFPA assistance, are directed largely at adults now in their reproductive years. Only nominal attention is given to population education or sex education in schools and in most countries none is given in the very early grades which are the only attainment of 2/3-3/4 of the children. It should be obvious, however, that efforts at birth control directed toward adults will with even maximum success result in acceptance of contraception for the reduction of births only to the level of the desired family size ── which knowledge, attitude and practice studies in many countries indicate is an average of four or more children.
The great necessity is to convince the masses of the population that it is to their individual and national interest to have, on the average, only three and then only two children. There is little likelihood that this result can be accomplished very widely against the background of the cultural heritage of today's adults, even the young adults, among the masses in most LDCs. Without diminishing in any way the effort to reach these adults, the obvious increased focus of attention should be to change the attitudes of the next generation, those who are now in elementary school or younger. If this could be done, it would indeed be possible to attain a level of fertility approaching replacement in 20 years and actually reaching it in 30.
Recommendation
1. That U.S. agencies stress the importance of education of the next generation of parents, starting in elementary schools, toward a two-child family ideal.
2. That AID stimulate specific efforts to develop means of educating children of elementary school age to the ideal of the two-child family and that UNESCO be asked to take the lead through formal and informal education.
So there is clear existing US policy provisions for specifically targeting young children and pumping them full of propaganda in a setting where their parents and older siblings aren't able to supervise their education. This policy could easily be used to justify promoting homosexuality/transgenderism to elementary students instead, and probably is.
There's also a section where the Report bitches about how US Federal law prevents USAID from promoting abortion, paying abortion doctors, or directly paying women to get abortions, but ends the section by stating that non-Federal donors can be used to essentially get around these laws anyway. And another section where it not-so-subtly threatens the World Bank for not going along with these population control schemes more heavily.
It's a pretty fucked up document, and it's very real. No conspiracy theory needed.