The question needs further detail; are you inquiring about:
- the inerrancy of a particular Bible translation?
- the inerrancy of the current best-reconstructed text Hebrew + Greek text (e.g. NA28) of both the TNK/OT and NT books? (and what version of the Bible book collection, the Roman Catholic, the Orthodox or the Protestant one? - all with a different number of books)
- the inerrancy of particular extant manuscripts?
- the inerrancy of the original autographs?
As you might expect I don't believe in the first four (as their is sufficient variation among manuscripts to not be able to comfortably claim/believe in inerrancy; and the Bible itself does not necessitate that) - possibly for the last one (the original autographs) but as we don't have access to these anymore that is impossible to check.
The verses
@eleos1954 quoted by themselves are not logical proof that the current Protestant Bible book collection in their current best-reconstructed Hebrew or Greek Text, nor even for the originals, are inerrant. When 2 Timothy and 2 Peter were written the NT didn't even exist yet, so these texts cannot possibly refer to themselves or to the future NT collection; these texts refer to what was regarded scripture in these days: the TNK/OT (but about 50% of the TNK/OT citations in the NT are from the LXX/70 translation which contained the Deuterocanonical books a Protestant Bible now omits). Nowadays there is even scholarly consensus 2 Peter was not written by the Apostle Peter. Revelation warns against adding/take away from its text, but of course that applies to the book of Revelation - the NT didn't exist yet.
My personal view is very similar to that of the great 20st century CE apologist
CS Lewis (Wikipedia): the Bible itself may not be the literal inerrant Word of God, but Christ is .. and we can find the Word of God in and through the Bible. Every word spoken/prophecy directly by God is inerrant of course, but the remaining copy or translation of that after thousands of years may not be inerrant.
My faith is not based on the assumption of inerrancy of a particular manuscript or translation - it's based on the truth of God's revelation through the whole Bible collection as it presents itself - the text is sufficiently reliable to trust the big picture and even smaller details. My Theolology or Christology is not liberal/progressive at all, even Charismatic to some degree - living out my faith in obedience to God is my greatest joy.
It's relatively easy to pinpoint a particular inconsistency in the best manuscripts we have - if your faith depends on inerrancy you would have to jump through hoops of forced readings or fancy interpretations to 'explain' it away. These forced/creative explanations don't really do apologetics a favour when discussing with Atheists, Jews or Muslims.