Your venture would be incorrect. Not only were there Jews living in the land continuously for the last 3000 years, migrations seriously predate WW2. You should check your history before you say things like that. And the claim that Jews lived "peacefully all throughout the Muslim world" is a bit simplistic. Dhimmi status was peaceful but not exactly desirable. And there are plenty of historical events which show violence against Jews in Muslim lands. If you want to compare it to treatment in Christian lands and say it as relatively peaceful then say that. But as an absolute statement it is inaccurate.
Reading comprehension?? Didn't I just say Jews lived peacefully throughout Muslim lands, that would include Palestine, and now your denying that masses of Jews "invaded" Palestine after WWII, that's where most of the Jewish population came from, the pre Exodus Jewish numbers were much lower, and immediately upon this mass migration, armed struggle and ethnic cleansing started almost right away, whereas the pre WWII Jews in Palestine lived in a more peaceful; coexistence with other native people who you so stubbornly refuse to admit were Palestinian.