Consider two possibilities:
- Some people were incorrigible, God knew that they would never accept his salvation, and he nudged the progress of history so that they would end up becoming this group of Pharisees at the appropriate time.
- The Pharisees were ordinary people, not significantly worse or better than everyone else, and God chose them to be part of his plan, and either by himself or through Satan, caused them to do what they did.
Dottard's Answer covers the first case.
This Question ("isn't this a violation of the free will of the Pharisees from God's side?") asks about the second case, so we'll consider that to be the actual situation.
That leaves three indisputable facts:
- The Pharisees' actions were God's will.
- "And as they didn't repent, it is logical to assume that they were sent to hell." — OP question
- "The Lord is … is longsuffering toward us, not willing that any should perish but that all should come to repentance." — 2 Peter 3:9
These facts seem to form a contradiction.
The key to this problem is what is meant by "sent to hell".
The OP (and most readers) will think that "hell" means the world where sinners live forever, being tortured and tormented for all eternity.
But that definition of hell, as popularized in fiction by Dante's famous novel, is not the hell of the Bible.
The word "hell" is the Elizabethan English translation of the Hebrew and Greek words for "grave".
"Hell" simply means the hole in the ground where dead bodies are buried.
So yes, the Pharisees died and were buried (sent to hell).
As the OP says, "[It] seems that the Pharisees never had a chance to believe in Jesus.", yet we know that God is a god of love and forgiveness, and this is a problem.
But if it is a problem that the Pharisees lost their chance of salvation as a result of doing God's will, then isn't is a much worse problem that billions of other people died and went to hell without being given a chance, having never even heard the name Jesus?
("Nor is there salvation in any other, for there is no other name under heaven given among men by which we must be saved." — Acts 4;12)
How can the image of a loving and forgiving God, who wants all to come to repentance, be reconciled with consigning billions of people to hell, which even if it isn't Dante's horrific version, is still permanent death and non-existence?
The answer is that the grave isn't permanent.
The Book of Revelation talks of two resurrections of the dead:
- All those that were offered salvation and accepted God's spirit during this age will rise as immortal spirits and join Jesus when he returns (1 Corinthians 15:50–).
They will rule the Kingdom of God with him here on Earth for a thousand years during the Millennium.
- Everyone else, except for those few that were offered salvation but refused to accept God's holy spirit (the unforgivable sin).
At the end of the Millennium they will be resurrected in mortal physical bodies, will live in the Kingdom, will be educated and trained in God's way of life, and will be given their first (and only) chance of salvation.
The first group will consist of a relatively small number of individuals selected by God for this purpose (God is not trying to save the world during this current age).
The second group will include the vast majority of mankind that has ever lived.
The Pharisees that were used by God to implement his plan of salvation will certainly be part of this second resurrection.
So yes, it's true that "God forcefully [made] the Pharisees to not believe in Jesus", but like most people, they will eventually be given their chance of salvation, by a loving and forgiving God (unlike the sadistic psychopath that some denominations preach).
See also the "Judas" section of my related answer to
Could Peter's denial be classified in the same level as the betrayal of Judas?.