Ah, double predestination. And like any doctrine you might make up on a bored Sunday afternoon, you can find proof-texts to support it.
But it sits with great difficulty with John saying that that "...whosoever might believe in Him might have eternal life". Whosoever. Not a predetermined list, but whoever. Indeed Jesus' parables might imply that anyone who thinks they're in because they're on a predetermined list (in Jesus' time this meant being a descendant of Abraham) could be in for a nasty shock.
God predestined His Church to be yadda yadda (you know the verses). But membership of that group called "His Church"? That's up to you. Election in the OT (which the early church knew very well as it was the only Scripture they had) is about being set aside to do a particular job - Cyrus was elected to free Israel from Babylon for example (IIRC). But it was the freed Jews who
obtained the salvation, not Cyrus! So Paul was elected to be the apostle to the Gentiles, but it was the Gentiles who obtained salvation from that election, not Paul (Paul's own salvation came from the Damascus road experience, not his own ministry).
So there you have it. A doctrine based on a lack of understanding of the OT concept of election, which makes God look like a right git.