"Because we reach different conclusions, we must have different feelings, right?"

Not necessarily. Technically if we get really philosophical here it is impossible to know if most people who aren't color blind are experiencing the same green as everyone else, or if varying degrees of happiness feel the same to people, but practically speaking there is a common reality where happiness, sadness and other feelings have a consistent definitions/descriptions between people that we can safely assume a shared experience/reality, much in the same way people who aren't color blind can easily recognize the color green and people can easily recognize and relate to standard human emotions like happiness, sadness, anger, etc.

Mormons describing the holy ghost. I grew up Mormon and I've lost count of the ways church members have described and interpreted their feelings and concluded it was the holy ghost. Their descriptions and definitions of the holy ghost and how they know it exists are as vague, and sometimes as contradictory as queer theorists describing gender identity/feeling like a woman.

I have felt ecstatically happy while hiking, while playing my instrument, while playing sports and just in general while completely getting lost in the moment. Many church members have described this feeling as proof of god's existence and proof that the Lds church is the one true church. I did not.

I have felt a sense of foreboding, that something was off and trusted my gut to avoid what would have been really bad situations that I learned about later. I concluded that it was instinct. Members of the Mormon church often interpret this feeling as a warning from the holy ghost and proof that God is looking out for them. I could go on any feeling you can imagine from indigestion, to a profound sense of happiness has been used by church members as proof that there really is a holy ghost out there. (Mormon churches have a once a month testimony meeting that I've attended for 2 decades, so you bet I heard an absurd amount of testimonies.)

When a man says, "I feel like a woman" I can't help, but think about the Mormons who say "I feel the holy ghost". Who knows there might be a holy ghost out there working it's voodoo, but it is an unproven conclusion. Members of the 100s of other religious denominations cite the same feelings as proof that their church is the one true church. They can't all simultaneously be right, but they can all be wrong.

Men who claim to be women cite all kinds of different feelings as proof that they have a mismatched gender soul. I like quite a few things that are considered masculine, but I did not conclude that, because I enjoyed said masculine activities that therefore I am a man. I'm a woman who happens to have masculine interests, much in the same way a man can happen to have feminine coded interests and personality traits. Concluding that they are actually the opposite sex, because of those feelings is quite a reach to say the least. It is impossible to know what it actually feels like to physically exist in the opposite sex's body. A woman will never know what it feels like to exist in a male body and vice versa.