This quotee is saying that:
1) The ‘Mysterious They’ want there to be lots of transsexuals
2) Vaccines cause autism
3) Autistic kids are more likely to want to change their sex
4) So the ‘Mysterious They’ are promoting vaccines to this end.
That’s four leaps of logic in one quote. A bit much for some, especially those new to FSTDT. They might think we’re the crazy ones, for explaining it that way.
Oh yes and I’m pretty sure that the quotee is implying the ‘Mysterious They’ to be Jews, as @Peacemonger373, @TatersForever5481 and @JeanP said.
And as for Jezebel? It’s a brilliant e-book by Justin Hamlin, whose POV character is a demon with amnesia. Please buy loads and loads of copies. (I admit I’m utterly shameless and I’m gonna keep doing this until Brian stops.)