How the middle east became muslim

[Minimalist]

mostly withput violence for the first 300 years

Except against any who resisted.....you forgot that part.

Judaism did spread between 3rd and 1st century BC,

Actually we only have one documented instance of forced conversion to judaism and that was by three late Hasmonean kings; John Hyrcanus (Idumea) and Aristobulus I and Alexander Jannaeus (Galilee). This period of 105 - 95 BC represents the only jewish "imperial" period and quickly fell apart after Jannaeus' death.

Hyrcanus did attack Samaria and destroy the temple at Mt. Gezerim but the Samaritans considered themselves "jews" already so that can hardly be counted. But they did have that fucking temple and boy did that piss off the priests in Jerusalem!