Well "Bible" doesnt do much for me, because we've always called it the Tanach. And because "Bible" most often is used in our society to mean the Christian old and new testament bible.
And I really dont like being associated with that, because the Christian old testament is not at all the same thing as our Tanach. The old testament has so many changes in letters, words, verses, meanings, etc. that all try very hard to insert or reflect their pagan man-god human sacrifice into it, I'm just very uncomfortable using the word "bible" to mean the Tanach.
I really dont know any Jews who do use the word "bible" when they mean the Tanach, but I mostly hang out with the Orthodox crowd, it's possible that the Reform, Conservative, and Reconstructionist do use "bible" and it doesnt mean anything negative to them? I dont know, there are some here who can answer that part for you. I have heard a few secular Jews use the word, but not even too often there.