“harmoniously”
There were pogroms, and both populations were too small
for this to be a meaningful description of society at the time.
“their ancestors turned to Judaism”
It happened, but Judaism was never a proselytizing religion.
“think they have a right to live in Palestine”
Take a group of many individuals,
each of which may be described as ‘Jew’.
At any given moment, there’ll be an ebb and flow
of individuals into and out of the group.
But the group has a life of its own.
Because of human memory, the process of assimilation is a slow one,
but it takes place.
Joseph’s children had an Egyptian mother.
Yet, Jacob said:
“Ephraim and Menasha are like Reuben and Simon to me”.
Judah is also mentioned explicitly as having a non-Jewish wife,
yet, Jacob praised him especially (Genesis 49:8-12).
Apparently, all of Jacob’s children had non-Jewish wives.
The wife of Moses himself was not Jewish.
And later, another very famous Jew had a Moabite great-grandmother.
Despite a racial base, Jews are not a racial group
But they are a reasonably well defined group,
with their own religion, language(s), culture and history.
Palestinian Arabs may have “Jewish” genes,
but they are not Jewish in any sense of the word
which either group finds meaningful.