Purist that I am, I have always read the concept of destiny in this show as not based on knowledge of the future, nor on actual destiny, but rather due to the actions of powerful unseen beings, such as the Cylon God and Lords of Kobol, and the Final 5.

So they are not destined to repeat the cycle here, I think the lords want them to, and make things happen to assure that they do.

Which is to say “they have a plan” and the Cylon God and First Hybrid know the plan, and thus know what is going to happen because they are going to make it happen.

I admit that it’s possible this is a totally wrong view, that there is just some mystical cycle of destiny in the show, but I would be disappointed.