The equal rights were 1947 borders set by the UN, which Arab nations rejected and started a war which they lost.
If you look at the map, "from the river to the sea" clearly means the whole area.
The original slogan also was "from the river to the sea Palestine is Islamic/Arab", but that would be far less catchy in the West.
As for equal rights in democratic state, that has to be a joke. Just look at population of Israel where almost 25% is Arabic and compare it to Palestine which is very homogenous.
Nethanyahu is a MF, far right politician that should spend the rest of his life in jail, but let's not pretend the other side are saints. They would would do exactly same (maybe even worse) if they had the means.
There are no good guys on either side of that conflict, just innocent people caught in the middle.
The original slogan also was “from the river to the sea Palestine is Islamic/Arab”, but that would be far less catchy in the West.
From where do you get this belief? According to the Wikipedia editors the precise origin is unknown, but a variant matching your claim (except it's from the water to the water) was coexisting with the "sea"/"free" version (both in Arabic) in the 1980s.
As for equal rights in democratic state, that has to be a joke. Just look at population of Israel where almost 25% is Arabic and compare it to Palestine which is very homogenous.
Why would a Jewish person choose to live in a ghetto rather than Israel. They have innate right to citizenship in the modern wealthy country next door. The people living in Palestine are doing so either because they have a deep attachment to the land or because they don't have any other choice, not because it's an attractive place to live. What Israelis have lived there were settlers trying to take land, not integrate into the society. Maybe the Palestinians (which ones?) would implement their own apartheid, but there not being many non-Arabs in Palestine isn't at all an indication of anything.
There were many attacks on Palestinian Jews already before Israel came into existence, when Arab nations attacked Israel (that is both Jewish and Arab Israelis), there were attacks against Palestinian Jews, so many or most of them fled, I guess also because the state Israel seemed like a safe haven compared to the horrors of Europe in the centuries before, so Palestinian Jews had many reasons to go to the Israeli areas.