I don't think that what you wrote, quite explains the anti-Pharisaic content, in the NT. I do think that aside from Scripture, exclusivity in religious adherence, always plays a factor in writings, /'from the pulpit' type of thing; so, no disagreement there.
I think that the Gospels were written in Aramaic, Hebrew, and even perhaps another language, extant in Israel, at the time; and then, consequently, were translated, and used as reference, for the Greek /written Scripture. I also think that utilizing verbal tradition, this was combined with the original Scribal notations, to form the Greek text.
Ie only some of the content in the Gospels, is Greek language primary.
There are arguments to this /general affect presented in a far more academic manner than I could, or want to; so, to this subject, I would merely suggest researching that, to form your own conclusion, thusly.
///
I think that there actually was 'disagreement', between not only Jesus, and some Pharisees, but also Jesus's followers, and some Pharisees. This is pretty much what we encounter in the Bible, as, for example, it is Jesus's followers, who were picking grain on the Sabbath. Anyways, that being said, I don't think that these disagreements form a religious concept itself. Rather, the Pharisaic disagreements are incidental. If anything, theologically, the Sadducees were more different in belief, from the Essenes, so forth.
//Nazarene & Essenic religious adherence, and tradition, also informing tendency that separated them from the Pharisees. Consider the /redemptive baptism, in the river, as opposed to the Mikvah that shares a similarity.
And other differences. There is nothing strange about the conflicting nature of the groups, even in the, /national relationship between these groups, as far as I can tell.
Hence, I do not make more of these disagreements, than I deem necessary, to derive the consequential teachings thereof.