Morality versus afterlife

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You were not far from the kingdom of heaven.  You were recognizing exactly what the law is intended to show, your sin (Galatians 3)  You were also right to conclude that God's standard is his way of showing us how hopelessly corrupt we are and how tolerant and  longsuffering He is for letting us be that way.  For whatever reason your process ended there and you never came to understand that the way to achieve the righteousness you sought is through the cross (2 Cor. 5:21)  

I actually understand all that, including that the way to be forgiven was through the cross.

I'm sorry if I misunderstood you.  From the post it appeared you were solely looking to your 'performance' as a Christian to determine the state of your salvation.

The fact is that I repented and "accepted Jesus" many times but nothing happened.

Could you please explain what you mean by the phrase "nothing happened?"  What were you expecting to happen?

I did everything I knew to do but I never received any additional strength to be a righteous person.

 
Could you expand on this a bit more if you're comfortable?  Do you mean that no one from the Church helped you through your struggles?  Or that you weren't suddenly free from all temptation and immoral desires?

Perhaps I was more righteous in some ways, that is the ways that it was easy for me to emulate (WWJD and all that), but I could never conquer my normal biological sexual desires and I never felt any supernatural force helping me with that.

Christians will still struggle with sin, certainly I still do.  While temptations have less appeal than they used to, no person will conquer sin entirely until the resurrection.  

Yes, that "force" was there to saddle me with all the guilt for my failures, but it was strangely absent when I was fighting the urges themselves.

That would be the accuser.  Because there is now no condemnation for those who are in Christ, if you were feeling guilty for your failures it wasn't God who was accusing you (or it was possible you weren't in Christ).