Well no. No there are not too many teachings. And no, they are not all infallible.
Then you don't agree with Jesus Christ who said, of the church, "and the gates of the netherworld shall not prevail against it." He says "it" as in one, not as in many dozens of denominations and thousands of independent churches. And what do you think he means when he, speaking to the apostles as he rose to heaven, says, "behold, I am with you always, until the end of the age." Surely, he was promising something substantial and comforting rather than a promise to allow Christians to fight and quarrel over doctrine until the end of the age.
You disagree with Jesus again, when he made the two promises quoted above; specifically, that the netherworld will not overcome the church, and that Jesus will be with his people in every way and every day until the end of the age.
Of course, the church is warned that heresies will arise, that people will form factions and go into schism, and that people will pervert the gospel message, but this is not what the church will do it is what heretics do. And heretics are excommunicated from the church by their heresies. Why? It is because of the church this is said, "you should know how to behave in the household of God, which is the church of the living God, the pillar and foundation of truth."
It is conjecture for you, as you wrote, not so for the Church of the living God which is the pillar and ground of Truth because Christ is with her and in her and because he works in her through this age to keep her as his spotless bride, as saint John reveals in his book, The Revelation.
Fear not, the door is open, you are called to enter, to receive the truth and grow into the maturity that Christ Jesus calls his people to.