We all want to fit in, and Childlovers, who often feel downtrodden, cast out, and persecuted, perhaps do more than most "normal" people. There is consolation in Christ though, because the scripture says that there is no difference to God whether you are a Childlover, a pedophile, or an average person who isn't these things, because God judges the content of everyone's heart, and knows the human heart better than the one who possesses it. God calls his subjects so that they may call upon Him. His subjects don't chose to follow Him, He chooses them, which is what He did when He extended grace unto all people of the world, without regard to external "qualification."
In the early days of the Church, the apostles (all Jews at that point) debated whether or not God had truly extended grace to all the gentiles (non-Jews). The apostle who brought this teaching was St. Paul, who had formerly been the chief persecutor of the Christian movement before he was chosen by God and converted. How great it was that God chose one apostle who himself was "born out of time" with the others (1st Corinthians 15:8) to be the one to say that God had extended His grace to "include everyone," whether Jew or gentile, whether gay or straight, and whether Childlover or not, because it is by the heart made open by the Holy Spirit that man comes to repent for his sins, and to know God, not by what tribe he lives in, or who he's attracted to, for that matter:
"And God, who knows the heart, bore witness by granting them the Holy Spirit just as he did us. He made no distinction between us and them, for by faith he purified their hearts. Why, then, are you now putting God to the test by placing on the shoulders of the disciples a yoke that neither our ancestors nor we have been able to bear? On the contrary, we believe that we are saved through the grace of the Lord Jesus, in the same way as they.” ACTS 15:7-21
The apostles in Jerusalem had wanted all those coming to Christ to have to be circumcised and follow the Torah law in order to be saved, which is what St. Paul here refers to as an unnecessary "yoke" (or "burden") on the new converts that not even the Jews were ever able to bear. There should be no external impediments to coming to faith in Christ, he says, since we are saved through the grace of God. It is therefore only the internal impediments (our own love of sin and doubt) which stand in our way, and which we need to ask God for the strength to overcome.
And what commandment does God give to all who come to Him? Once we have come, we are to "remain" as Christ says in the Gospel of John. How do we remain with him? By keeping his commandment to: "Love one another. As I have loved you, so you must love one another" (John 13:34-35):
"Jesus said to his disciples: “As the Father loves me, so I also love you. Remain in my love. If you keep my commandments, you will remain in my love, just as I have kept my Father’s commandments and remain in his love."" JN 15:9-11
So when it comes to feeling downtrodden, cast out, and persecuted, whether you're a Childlover or not, Christ has the solution so long as your heart is willing to be made open by the Holy Spirit, and He will open it because He knows the content of your heart better than you do. Unlike the world, which will never understand the content of your heart, He knows that you would never harm a child intentionally and that it would grieve you to the point of death if you ever accidentally harmed a child. He knows this, because He sees the real you. And if you do harbor this perverse will to harm children, He knows that as well. But if you confess to Him that you detest your sins, He will judge what is good in your heart and He will find you worthy of redemption through Christ. You won't need "tablets of stone," as St. Paul says in the Letter to the Romans, because the law of God (which is love) is already written on your heart:
"Indeed, when Gentiles, who do not have the law, do by nature things required by the law, they are a law for themselves, even though they do not have the law. They show that the requirements of the law are written on their hearts, their consciences also bearing witness, and their thoughts sometimes accusing them and at other times even defending them.)" (Romans 2:14-15).
Lastly, why does Christ accept you without any external conditions but by your faith? Because he wants you to be happy. As He told the disciples: "Peace I leave with you; my peace I give you. I do not give to you as the world gives. Do not let your hearts be troubled and do not be afraid." (John 14:27). Unlike the world that wants to destroy you if they ever "found out," He knows you and wants peace for you, and doesn't want you to feel dejected and cast out "as the world does." Instead he tells you without condition, as long as you're willing to listen:
“I have told you this so that my joy might be in you and your joy might be complete.” JN 15:9-11
Who else in this world wishes you, a pedophile, a Childlover, "complete happiness?" Complete means more than temporary happiness, which is all the world and its desires and cares can give you. Complete means eternal joy. Take that as your consolation, and you will never feel dejected, persecuted, or sorry for yourself again. You "fit in" with Christ, unconditionally. You are called to go into the world and love children as He has loved you.
Peace and grace be with you.