Hmm, OK ,so I guess in order to give validity to the claim of innateness to 'feeling like a women' a person would need to define what that feeling is.
This is the crux of it really. If you define being a woman by gender stereotyping, any gender stereotype that you could name, I can show you a woman who doesn't have it. But they are still a woman.
There simply is no answer other than a biological one. Which is why, when you ask a trans-woman what it is that she is feeling that makes her a woman, it comes out as an essence of some description -indefinable and subjective. Likewise if you ask what are the similarities between you and me (a woman) which make us the same. There aren't any which don't resort to gender stereotypes (see above).
It's also worth noting that many transwomen, particularly the activists, display male socialisation, to such an extent that they come across as hyper male. But continue to say they have empathy with and an affinity for women, because they are one. It's an extraordinary disconnect.
With regards to the LGBT community in general - I am not in that community, but I should imagine they have the same attitude as women in general. A desire to be inclusive and fight for a minority who is suffering, until the disconnect hits them in real life. (Like monkey's friend above).
Also, of course there are many transwomen who don't make demands, who do just want to get on with life peacefully. They tend to know they are men, are often attracted to other men and have zero desire to appropriate womanhood at the expense of women.
As A guy called Helen (a transwomem) says to transactivists at large, if you don't want women to think you are entitled abusive men, stop acting like it.
Frankly, if transactivists hadn't insisted on us agreeing that they are actually women, none of this would have happened. All the gender nonconforming trans-people would just get on with their lives like they have for years.
And I find it all a little immaterial anyway. Unless you have been socialised as female since birth, you haven't lived as a woman and all that entails. Not to mention the fact that you will never experience womanhood from the point of biology. And it's glaringly obvious when you speak to trans-women.
It's a mindfuck and I don't envy you your task.