Ummm, hmmm,... Ayn Rand was a Jewish immigrant...
The fatal flaw of Ayn Rand's philosophy: Morality and all of those associated ideals are rooted entirely in a presupposition that some higher power defines what is correct for human behavior.
I personally have a problem with an atheism with moral absolutes. I can't see how that works. But even if I didn't have that problem, I'd have a problem with the taking as given that duty and happiness are seen as opposed in Christianity.
Somewhere in this thread Rand rightly contrasts doing something on a whim (because the mere doing would make one happy) and doing something with the object of happiness. THAT would be our point of contact, or one of them.