I can't sperak for the Latin brothers, but I would venture to guess that they share the same belief on predestination as we (Eastern Orthodox) do.
You must not have had your coffee yet, since you are spouting ignorance as fact once again.
The subject of presdestination is a profound Divine mystery -- it is Orthodox dogma. Trouble is, it is not your dogma, and since you know nothing of the Church of Christ, you believe that the Protestants "discovered" predestination after they read the Bible.
There is a lot more than these pages allow to discuss here, but sufficie it to say that you Protestants do not understand the difference between God's will and His foreknowledge. The two are not one and the same. For you to being to understand this, you would have to read the Desert Fathers (3rd century), the Cappacodian Fathers (4th and 5th century) and, most of all, the work of +Gregory Palamas (13th century). And, before you even think it, rest assured that their work is studded with Scriptural references.
You can't explain it and yet Augustine, Luther, Calvin, and the many other people who CAN explain predestination are wrong?!? Really?
This is my impression as well. We believe in divine foreknowledge of all things and in God knowing His elect at all times; we believe in the free will of men to accept or reject divine grace, and we believe that God wants all to be saved and extends His Grace to all. We reject predestination of the reprobate. We beleive that any contradiction in the nature of God that might arise in our minds as we try to reconcile the above beliefs is only a limitation of our mind unable to embrace the sovereignty and omnipotence of God.
We believe those things because that is the eternal Word of Christ that subsists in the entire Holy Tradition of the Church; those who read segments of the Word from the translations of parts of the inspired written revelation outside of the council of the one, holy, catholic and apostolic Church endanger the salvation of themselves and others who they attempt to teach.