Whether you - or the Jordanians - like it or not Jordan is a majority Palestinian country.
That hasn't stopped the Jordanian minority from carrying on as though the Palestinians living in Jordan simply don't exist, and in many cases refuse to even confer citizenship on them because they cling to the deluded notion that a child who was born in Jordan and has known no other country is going to be perfectly happy being shipped off to Israel or Palestine because of something that happened in his grandparents' time.
Israel's right wing clings to a very myopic perception of a monolithic Arab people that is universally intent on destroying Israel and all Jews at all cost because they obviously have nothing better to do with their time. To be "an Arab" means nothing more than to speak the Arabic language, in the same way that Hispanic peoples are united by Spanish and Lusitanic peoples are united by Portuguese. Arabs do not share a common religion (some are Muslim, some are Christian, some are even Jewish); they don't share a common race or ethnicity (it's hard to mistake a blonde-haired, blue-eyed Lebanese for a brown-skinned, kinky-haired Somali). Telling a Palestinian to go live in "one of the other Arab countries" is about as logical as if the United States occupied part of Mexico and told the Mexicans living there that they shouldn't have any problem going to live in Peru or Spain.
This is a weird answer since the tone seems to imply its some kind of counterargument to mine, but the second part is stating a lot of obvious facts that's irrelevant to my post.
The point about Jordan is that at some point it will have to be taken over by Palestinians - they are the majority and cant be kept down forever.
This will be a good thing for Israeli-Palestinian relations since it opens up the option of the West Bank being divided with about 80% being incorporated into a united Jordan-West Bank state, which could make use of a functioning state apparatus. And it makes the Jerusalem question more manageable since it doesn't have to be the capital of a Palestinian state.
Regarding Palestinian refugees in Arabic countries, despite some cultural differences they are close to the population in neighbouring countries and
could be integrated into their population if the necessary political will was present. Any long term solution means integrating Palestinians in the host countries. Its unlikely to happen, but its still one of the necessary conditions for peace.
NB: Somalis are not Arabs.