They are not the same thing at all.
Most Jews are not Isreali
Many Isrealis are not Jewish.
20-25% of Israelis, including the Israeli army are Muslim, ( varies year to year)
Some Jews are Arabs. Some Arabs are Jewish.
Some Palestinians on the West bank are Jewish.
There are no known Jewish Palestinians in the Gaza strip as Hamas has succeeded where Hitler failed, in wiping out it's own indigenous Jewish population. This is the ONLY reason why there are no Jews left in this population.
Israel has done terrible things. Hamas has done terrible things.
Please don't classify things done by Israel as done by Jews, a quarter of them are not Jews. please don't classify things done by Hamas as done to Jews, many of their atrocities are inflicted on Muslims.
To say Jews and Israelis are the same is like saying English people and Anglicans are the same, many people are English and Anglican, many people are English but not Anglican, and many Anglicans are not English.
And also, some Palestinians, and some Israelis are Christians.