The Calvinists could be partially right if we look only at the short term. At Sinai, the people did not want to hear the Voice of God. David said of them that they hardened their hearts. Thus Moses wrote a book of rules for them, a book very hard to understand. Does that mean they are all doomed? No, not if they were truly of Israel. All Israel will be saved.
God blinds some people to the truth; and this is a good thing. It means their sins will not be committed knowingly and willfully. Thus the sins can be easily forgiven as sins of ignorance later. I do not think it's God's Will that everyone alive on the earth comes to "all truth" -- for if they did know the truth and sinned, their judgment would harsher.
Hebrews 10:26 For if we sin wilfully after that we have received the knowledge of the truth, there remaineth no more sacrifice for sins,
Thus it is God's Mercy to blind some people's eyes to the truth. God does not allow us to be tempted beyond what we can bear. Until someone is ready to repent, it can be better for them not to lest they fall into temptation too big for them to bear.
Paul doesn't go into how he believes all Israel will be saved; but I believe no one will face final judgment until he knows the truth and that the Thousand Year Reign will play a role.
Does that help explain Romans 1 where we're told God hands some people over to a reprobate mind? This is like the prodigal son who didn't appreciate his father. He wound up in a pig sty before he came to his senses. If we want to live selfishly and like brute beasts, God will allow it. Sooner or later, we will see the errors of our ways.
Romans 1:28 And even as they did not like to retain God in their knowledge, God gave them over to a reprobate mind, to do those things which are not convenient;
I think it is a good thing that this is so even if they aren't that pleasant to be around. Their sins are sins of ignorance.
Jesus chided Paul about kicking against the pricks. Well, we see that now too with some people. It's okay. Jesus knows when someone is sick enough of things the way they are that they're ready to try the Path of Love. What is sad to me is that some people need to suffer so much before they are willing to admit they're on the wrong path. It's so pointless; but the world is wondrously made -- they are free at any time to change course, and Jesus will spot that willingness to accept the good news. Calvinists seem to think God extends His Grace randomly. I don't think so. I think God is wiser than that. The person in the pig sty couldn't possibly fix his own problems; nor can the sinner fix his. God helps those who are willing to benefit from it since God is Love and wants the best for us. God does throw pearls before swine or give to the dogs what belongs to the children.
If we want to live like devils, we can't expect God to be a co-conspirator in our wickedness.