Where you are wrong is in omitting the fact that Salvation comes only through belief in Him.
That is what Jesus says in John 3:16 and throughout The Gospels.
Where they're wrong is that Christ was first a teacher among the Jews, but that he also had a heart for those of other backgrounds, as the story of the woman by the well whose deeds Christ gave her a recitation of correctly, yet gave her a command she likely heeded to "go and sin no more." Peter's revelation of this meaning was his dream of the table of unclean meats that were now acceptable, which he interpreted to mean all human beings, even those who were not born as Jews, were welcome to God's banquet if they followed Christ's teachings which were based absolutely on Old Testament books. They still went to Synagogues and taught scriptures in Christ's manner of interpreting God's commands and love for all humankind. Sometimes they were tortured, jailed, and killed for saying so. Many in the region made spectacles of feeding the new disciples to hungry lions, or used as easy kills for new gladiators, fighting the unskilled men given weapons to the death, which usually went well for the newbie gladiators and poorly for the Christians. The upper classes were not too concerned about Christians until Constantine, Emperor of the Roman Empire from 307-337AD, adopted Christianity and unified believers starting in 325 at the council of Nicaea in Turkey, which was opened by Constantine and attended by all Bishops in the realm.Those are some more geniuses who need to get a real job.
When will you learn how to read English as Jesus says nothing in the Gospel according to John, that is Johns words which is why it is called John