Reconsider? Sure, why not.
If the Bible is wrong when it tells us it's infalliable: Well, when God has less of a capacity for forgiveness and compassion than humans, there's a problem.
Then it contradicts itself: This is backed up by all the other contradictions it makes, so yeah.
Then it is unreliable: Sounds about right. Talking snakes are bullshit and bats aren't birds, and all that.
If it is unreliable, then our faith is totally shattered and Chrisitanity is a lie: Yeah, this is about how the discovery went for me. Only later, I realized that I didn't really believe any of this and was just going through the motions because that's what I was taught.
So yup, the logic still works.
Edit: Okay, evidentally last time, I misread "faith" for "family." Made sense to me at the time, because they're always saying how Christianity is the core of family, or whatever.