The belief that God doesn’t send people to hell, but that we send ourselves there, is exactly what mainstream Christianity believes (Catholicism, Orthodoxy, and many varieties of Protestantism). It’s mostly just Calvinists and fundamentalists who don’t believe that.
God created hell for the devil and his angels, “Then he will also say to those on the left, ‘Depart from me, you who are cursed, into the eternal fire prepared for the devil and his angels!” (Matthew 25:41) and He does send people there who refuse to believe (John 3:18), “Don’t be afraid of those who want to kill your body; they cannot touch your soul. Fear only God, who can destroy both soul and body in hell,” (Matthew 10:28), “And anyone whose name was not found recorded in the Book of Life was thrown into the lake of fire.” (Revelation 20:15). In those cases yes the unbeliever paves there way to hell, but God does the sending / sentencing or casting into lake of fire at judgement.