Step 2: Employ slippery slope fallacy
Step 3: Do the non-sequitur/straw man two-step.
If inerrancy is the lynchpin of your faith, you will be joining me in the ranks of unbelievers very soon. A reasonable person can only deny the obvious for so long.
Regardless, there are a great, great many Christians who recognize that Biblical inerrancy is incompatible with the truth. The book has a LOT of errors and contradictions. It does not follow that recognizing the existence of actual errors and blatant contradictions will turn you into an atheist. But the cognitive dissonance that comes with dodging, denying, and never admitting an error is an error eventually gets to you.
How much easier is it to say that different people telling a story passed down for decades transposed some of the details than to try to make those errors fit into one cohesive narrative that not a single writer managed to tell?
Inerrancy is the atheist's best friend, I assure you.
It should be noted that "the scripture cannot be broken" in John 10:35 does not refer to the New Testament or the gospels, as (assuming Jesus actually said it) Jesus said it decades before any of the N.T. was written. So we KNOW Jesus wasn't talking about inerrancy in the gospels.