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it is very doubtful that those differences in brain structure are due to learning experiences.

That's your opinion and you can't provide a link to a credible study that supports your opinion. As Satinover says in The Gay Gene?:

I'll bet people who pray regularly have certain enlarged portions of their brains!.

The hypothalamus is the site of most of those differences, and based on biological research on animals, the areas of the hypothalamus are linked to the control of sexual behavior.

And here's what Simon LeVay (a homosexual activist and scientist) said of his own work on the hypothalamus:

"[His 1991 research] made the unassuming LeVay one of the most misunderstood men in America. "It's important to stress what I didn't find," he points out with the courtly patience of someone who long ago got used to waiting for the rest of the world to catch up. "I did not prove that homosexuality is genetic, or find a genetic cause for being gay. I didn't show that gay men are 'born that way,' the most common mistake people make in interpreting my work. Nor did I locate a gay center in the brain--INAH3 is less likely to be the sole gay nucleus of the brain than part of a chain of nuclei engaged in men and women's sexual behavior. My work is just a hint in that direction--a spur, I hope, to future work."
Source: Interview with David Nimmons (March, 1994) "Sex and the Brain", Discover, Vol. 15, No. 3, p. 64-71.

That was 11 years ago and nothing has been found to further any support for your position since then.

Many researchers report many gay and transgender children know they are different by age 2 or 3.

Don't spout this nonsense without a credible source to back it up.

Again, I will offer a word of caution about quoting Paul Cameron.

Stop changing the subject. Who's quoting Paul Cameron? You really know nothing about the man other than what you've read by homosexual activists Mark Pietrzyk and Andrew Sullivan, both of whom have been discredited by the facts surrounding Paul Cameron.