I am not an historian of ancient and Greco-Roman Judaism, but I have been studying Persian and Greco-Roman Judaism lately. The latest scholarship suggests the monotheist El-Yahweh cult is a reworking of Canaanite worship of 𐤀𐤋 𐤃 𐤉𐤄𐤅𐤄 𐤑𐤁𐤀𐤕 to make this cult fit into the Persian Zoroastrian Imperial system. The Book of Esther supports this hypothesis.
Greek cleruchs and Alexandrian colonists reworked Persian Judaism into Pentateuchal Judaism for the needs of Greek-speakers that practiced the El-Yahweh cult in Alexandria. The Septuagint Pentateuchal text probably precedes the Hebrew Pentateuch.
When the Hasmoneans overthrew the Persian-sponsored elite, they brought the Alexandrian form of Biblical Judaism to Palestine. This form of Judaism was even eventually adopted by Samarians.
The Herodian abuses as well as the series of Judaic wars and rebellions fundamentally transformed Judaism in the three centers of Judaism: Alexandria, Palestine, and Mesopotamia.
Popular Judaism practiced by the peasantry and preached by Jesus may have have dropped out of the Temple Cult even before the destruction of the Jerusalem Temple because Temple Judaism was a cult for landed proprietors, merchants, and exploiters of the peasantry. The class split in Judaism comes to a head in the Bar Kochba rebellion when the Judean peasantry refuses to support Bar Kochba, and he responds by persecuting the peasantry, which at this point almost entirely practices a form of Judean Christianity very similar to Islam of today.
The Romans defeat Bar Kochba & his elite supporters. The Romans for all intents wipe out the Judean elite or enslave it and take over the estates. The peasants welcome the replacement of the Judean exploiter class with Romans. It is not surprising that am haaretz (Hebrew for peasantry becomes a term of scorn in Judaism.)
By the end of the 2nd century, the remnants of elite Temple Judaism is completely shattered. Judaism is being supplanted by forms of Christianity inside and outside the Roman Empire. With his redaction of the Mishnah, Judah the Prince tries to create a codex version of elite Hebrew-Aramaic Judaism comparable to Greek-language codex Judaism and to Greek-language codex (pre-Constantinian) Christianity.
The Mishnah describes a Passover service modeled on Judean Christian practices and begins to emphasize the concept of Israel (a description practically unused by Hasmoneans and Herodians, who wanted to be Kings of Palestine but never achieved that goal) as Christian Judeans do.
In the competition among codex Christianity and codex Greek Judaism and codex Hebrew-Aramaic Judaism, codex Christianity wins out, and both codex Greek Judaism and also codex Hebrew-Aramaic Judaism are left in the dust.
With respect to the development of the Haggadah Text, with the exception of claiming Judea was depopulated after the Bar Kochba rebellion (only the native elite was ruined), Elon Gilad gives a reasonable description in Who Wrote the Passover Haggadah? of the development of the Haggadah text.