No one has been predestinated to heaven or to hell in Romans 8:29, 30. You are assuming that is what the scripture is saying.
All are called, but not all answer the call or respond to the call. Paul brings this out in Hebrews 4:2. Not all believe or embrace the Gospel as a means of salvation when they hear it.
Just looking at verse 30 for the moment:
And those whom he predestined he also called,
and those whom he called he also justified,
and those whom he justified he also glorified.
If we are going to take God, through Paul at his word we have to say that there are some [at least] who are predestined. And if we follow the words of Paul those who are predestined are also gifted with some other things; being called, being justified, and being glorified.
Note that all of these things are the working of God alone. There is no "accepting" the works of God.
I understand that Paul does not use the term Heaven here. If you wish to argue that "glorified" does not mean at least being in Heaven, go for it.
If God is indeed calling everyone to himself, as you insist, and if we take Paul at his word, then universalism inescapably follows.
Since it is clear that Paul is not a universalist, let us just assume that Pate is incorrect.