Why not remove all mention of Jesus from history and instead instill good values into subsequent generations?
I would ask first, why should we do anything at all in life?
Paul teaches us that whatever we do should be for the glory of God (1 Corinthians 10:31) and the Lord taught us that whatever we do should be according to God's will (Matthew 6:10).
I cannot see how removing all mention of Jesus from history and instead instilling good values into subsequent generations would be for the glory of God. It would actually be for the glory of man and not for the glory of God, since such an act would teach that God is not, in fact, the root and source of all goodness (Matthew 19:17; Mark 10:18; Luke 18:19).
There are probably many ways to demonstrate that doing what you propose is also not the will of God. For example, it would go against the Lord's commandment to go and make disciples all the nations (Matthew 28:19; Mark 16:15) (although Jesus issued this commandment to the apostles and ministers, and not to all Christians in general).
Additionally, do you believe that a person who has never heard of Christ, but has lived a peaceful and just life among his fellow men, unwittingly in alignment with biblical guidelines, will enter heaven?
please consider
John 14:6;
Jesus told him, "I am the way, the truth, and the life. No one can come to the Father except through me.
I think your referral is quite apt. We might also consider,
No one can come to Me except the Father draw him (John 6:44); and
If I be lifted up from the earth, I will draw all men unto Me (John 12:32).
What does it mean for someone to come to the Father by means of Christ?
Is it possible for someone who has never heard of Christ to be actually led by Him?
If we say no, then we are denying the presence of Christ in certain other people, which then implies that we deny that God is omnipresent. But we know that God fills all things:
Whither shall I go from thy spirit? Or whither shall I flee from thy presence? If I ascend up into heaven, thou art there: If I make my bed in hell, behold, thou art there. If I take the wings of the morning, And dwell in the uttermost parts of the sea
(Psalm 139:6–9)
Furthermore, while we derive knowledge of God and God's will through supernatural revelation and the Incarnation of the Lord, knowledge of God is also revealed to us through knowledge of oneself and of God's creation, in general. Paul writes, for example,
For the invisible things of him from the creation of the world are clearly seen, being understood by the things that are made, even his eternal power and Godhead
(Romans 1:20–21)
and the Lord Himself said,
Behold, the kingdom of God is within you.
(Luke 17:21)
To your question, "Do you believe that a person who has never heard of Christ, but has lived a peaceful and just life among his fellow men, unwittingly in alignment with biblical guidelines, will enter heaven?", I really have no answer, because, it is for God to judge in the end and not me. God will show mercy on whom He chooses to show mercy (Exodus 33:19). Certainly, however, if one is doing the things that the Lord suggests in Matthew 25, he or she is living in alignment with biblical guidelines, albeit unwittingly.
Come, ye blessed of my Father, He says; Inherit the kingdom prepared for you from the foundation of the world (Matthew 25:34). Those on the right make it clear that they did not recognize Him in life:
Lord, when saw we thee?
Please note in all this that I am not suggesting that if one is seeking Truth, one can pick and choose whatever one wants. We are discussing specifically the case of someone who had never heard of Christ. Nothing in Scripture justifies apostasy.