Ok fair enough.
Is it morally equivalent to discriminating against transgender people?
Committing a crime (harming animals is a crime) versus wanting to identify as a different gender?
Why did transgender people or homosexuals face internment for their choices, which brought no harm upon anyone?
so the transgender one isn’t as straightforward as gay rightS.
No sensible person can disagree with an adult having a right to undergo a sex change (whether it’s choice or nature, who cares, none of my business).
What people are objecting to is the enforcement of language rules, the indoctrination of children and the obvious contradictions in the movement. We cannot pretend that humans aren’t a diamorphic species to accomodation an infinitesimal size of the population by changing every aspect of society.
for example transgender rights go against women rights (imagine a transboxer).
it further goes against gay rights as there are cases of young boys that were probably just gay who underwent sex changes and the commited suicide later on.
Now as to your point on animal rights, it is somewhat equivalent.
I am for example against torturing animals and uneccesary cruelty, but I am in favour of dog racing, cutting dog tails (boxers for example), horse racing and I am also a hunter.
all rights movements tend to overshoot and in my view that LBGT rights movement like the civil rights and women rights movements, largely achieved their goals and now we are seeing a decadent phase.