The first sentence is correct. The second sentence is conventional wisdom and is wrong, at least as it concerns Israel - but not the rest of the Western world.
Please, read this article by Yoram Ettinger. It is important.
That article, like most of that type, insist on avoiding the issue by counting Arab birthrates.
The quote is Muslim birthrates. It’s not the same thing.
That particular article is also chock full of claims asserted as fact, with no proof.