I feel that by building transgender bathrooms, all that does is expose even more children who are still developing their own sense of identity to this type of thing, which will in turn increase the percentage of people that are transgender in the next generation.

I agree. We don't need more segregated bathrooms, we need less. Build bigger, unisex bathrooms. In the meantime, little girls (both trans and cis) can go to the girls bathroom, and little boys (both trans and cis) to the boys, regardless of their birth sex.