This calvinist teaching states that man is so depraved that he is dead in his sins.
He is so wicked in his heart that he is unable to raise up on his own to see the light of God.
For this reason, they teach, God must first regenerate a person, and then they become saved and are able to
have faith in God.
[...]
So, what they teach is that we are dead, God makes us alive and regenerates us and then we become saved.
This is the opposite of what Christians have believed throughout the ages and which every denomination teaches.
That is: That we believe God's revelation to us....we believe the gospel...we have faith in God... THEN God saves us by His grace.
I'm not a Calvinist but I do not see any contradiction here. According to what I understand, Calvin says we are all sinners, which we are. Of course we believe first, and we obey, hence
do our best not to sin but we fail again and again, even if only invisibly, in our minds and in our hearts (judgement, resentment, lack of compassion...). It is hence clear that
we believe but we are not established in our faith since our actions, words and thoughts are not in tune with our beliefs. If we try hard enough and if our actions, words and thoughts become closely tuned with our beliefs, then we will have real faith, we will walk our talk, and God will save us. This is how I understand the little bit of Calvin's teachings you quoted. Being baptized is not enough, believing is not enough, we must work hard to be saved.
This point of view is sustained by James 2:14-24 which is very clear about the importance of good deeds. It ends with:
"You see that a person is considered righteous by what they do and not by faith alone".
Of course, you could find verses from Paul saying the opposite but Paul and James are in blatant contradiction on the subject of salvation. One could argue Paul doesn't oppose James on the subject of salvation because Paul assumes our actions will always be good if we have faith but this is wrong.
Who among us can say they never sinned from the moment they converted?
When it comes to salvation, Christians therefore clearly have to choose between Paul and James. I have no idea why anyone reading Paul carefully and with an open mind -- e.g. setting aside the preconception that everything Paul wrote is the truth -- would believe Paul: James was chosen by Jesus, Paul wasn't. James spent lots of time with Jesus, Paul never met Jesus. I have never read James contradicting himself and I have exposed, in recent posts in another thread, some of Paul's contradictions and inconsistencies. I have also pointed out that Paul's spiritual understanding can be shallow at times.
Now, James is not the only one proving Paul wrong on the topic of salvation. Even
John the Baptist refused baptizing Pharisees and Sadducees unless they would produce fruits worthy of repentance (Matthew 3:7-9; Luke 3:7-8) which clearly means that believing and repenting is not enough.