> This cannot be reconciled with the meaning of the slogan "from the river to the sea". (Wikipedia claims that the slogan is used by both sides of the conflict, citing a JSTOR article I can't access; but I have only ever seen it used by Hamas and their supporters.)

It was literally Likud's electioneering slogan throughout the 70s. It's not just that it's been used by both sides - it was actually created by Israelis.