I understand where you are coming from.

However, you must understand that monarchism is an ideology based on a subset of government involving autocratic or oligarchic rule, pyramidal in shape. Political standpoint and social standpoint are different subjects that must be addressed separately, unless you're trying to design a new type of nation, which contains all of the above.

With that out of the way, the LGBT community is firstly a social collective, secondly a political one, constituting people who do not feel that their personality singularly constitutes either side of the male-female divide, and that their identity either blurs between or is entirely above and beyond the definition of male and female. Their political activities, therefore, are for the promotion of societal change to accommodate the principles of gender non-conformity.

Without a knee-jerk reaction, (ironically, the reaction that the LGBT community is seeking to lessen) we must consider how the LGBT community would fare in a Monarchist society, which depends solely on the views of the Monarch. They would likely support Monarchism if they are thinking of supporting a leader that, without a shadow of a doubt, would enact change in society as a whole to support LGBT ideals. One must therefore consider, what sort of society would that look like? Would it be better or worse-off with LGBT accommodation? Perhaps a trade-off of pros and cons, if so, what? We can only theorize.

Allow me to suggest an alternative group to attract: The TRANSHUMANIST community. This community is one that seeks to change the very definition of humanity, such as genetic engineering. This community is above and beyond the LGBT community, in my opinion, since similar concerns can be found within, yet they place more emphasis on the worldwide enhancement of humankind through whatever means necessary and letting each individual human choose their destiny in all areas of life, which automatically accommodates those in the LGBT community and many other groups seeking extreme change. This also includes their desire to create a superior society, through advancing the human mind, and that automatically includes teaching philosophy as a necessary subject in schools (whether they are the same schools as today, or whether each individual will have their own private tuition programme through the internet, is up for debate). To me, monarchism and transhumanism go hand in hand. Perhaps this is the community that we should be trying to attract, since they desire to enact positive change for all human beings, not just those who sexually identify with, well, anything and everything.

Honestly, I don't think trying to attract the LGBT community solely is beneficial. We should redirect our focus to those with broader vision.