Neither of these verses say we have no choice in our destination
I'm going to jump in just to say you are correct and my answer to your opponent would be there are no scriptures that state salvation is by special pre-selection such as man's wisdom would teach having missed the point of Progressive Revelation.
Your opponent apparently doesn't understand that there is Only One Gospel – progressively revealed – that
all men, as per this Revelation, whether before the cross or after that were saved were saved through the action of faith. The Good News is we now have this ministry that Jesus came to bring hope to
all men not a lucky pre-selected few. Very telling that a Calvinist would want to exclude the revelation given in the OT as only addressed to Israel (as Pedigreed Jews). It seems they miss the point that the blood of bulls and of goats never saved anyone according to their preselected pedigree. –then what did save them? – FAITH!
“Israel” refers to the faithful. The idea of that the “Jew” in the NT and OT is synonymous with “Israel” as it relates to the Gospel should be abandoned because to begin with it is only applicable to “the southern tribes of Judah and Benjamin (with the Levites), it excludes all the prophets to the northern kingdom such as Samuel, Elijah, and so on.”
The term “Israel” means “faithful” throughout history as the secular ethnic application is different than the redemptive context in scripture. John the Baptist rebuffed the Pharisees in this matter of pre-selected pedigree as to who their father was:
(Mat 3:9) And think not to say within yourselves, We have Abraham to our father: for I say unto you, that God is able of these stones to raise up children unto Abraham.
(Mat 3:10) And now also the axe is laid unto the root of the trees: therefore every tree which bringeth not forth good fruit is hewn down, and cast into the fire.
The “faithful” receive God’s gift of grace, pre-selection had nothing to do with it, as Paul’s reveals that the faithful are saved he uses the term the “seed of Abraham” (that there has meaning!) for ALL the saved and that term is consistent and applies from the OT also and is unrelated to the New and Old covenants.
So interesting to note, how the Calvinist will speak of the “schoolmaster” while missing the lesson that people are not born with the special privilege of being predestined as the “Jews” also believed. John put the axe to that thought!
Even more interesting, one of the Calvinists’ favorite proof-texts is 1Corinthians 2:14 which in context actually exposes that they have not received the wisdom of the Progressive Revelation of the Gospel nor understand
the ministry of the power of the Gospel unto
all men according to their faith. They still believe, like the Jews that they were specially preselected.
In relationship to salvation meaning by faith alone there is no fundamental difference between the NT and the OT; the fundamental difference between the New Covenant and the Old is it is written in our hearts.