I hold to the only inerrant scripture to be the Torah that existed at the time of Christ that is what the Lord was referring to when He said "not one jot or tittle of the LAW will pass away till all is fulfilled. Which He did if we interpret scripture properly,
Prevailing thought has a lot to do with what people believe not examining the scriptures for themselves. It is sad that someone who studies scripture all their life can't reach a truthful conclusion on this matter they have been led that it is a lack of faith or a sin or transgression against God not to believe in the inerrancy of Scripture.
RC Sproul says that it is the essential truths of scripture that are inerrant but would imagine if you questioned most of his followers they would say that he teaches the inerrancy of scripture.
Another serious problem is a lot say the original writings are inerrant which we don't have to examine that is an assumption. Problems in the text account in the gospels would lead me to believe that this couldn't be true.
The gospels were written in the most tumultuous time in history there were probably a lot of rumors and urban legends going around during that hectic period of persecution and such. It is a wonderful thing we have the accounts we have they are a Gift of God but don't make them into something they are not. We must be seekers of truth for He is the Way the TRUTH the Life. in Christ JRR