The linked post talks about the effectiveness of AIPAC but fails to mention how much is spent by say, Palestinian interest groups. Perhaps there's a good reason for this: do Palestinian groups have any money to spend on US elections? Try fundraising in Gaza right now.
Likewise, business interest groups have a lot more money to spend on elections than, say, environmental groups. The latter have to beg for small donations from individuals just to stay afloat. Thus, it's relatively easy for business groups to outspend environmental groups. To win an auction, you just have to be the highest bidder.
They may on paper, but of course a lot of money goes to dividing us up come election time. What you are suggesting is no shortcut - it would rather be almost like inventing an alternative political party.
I think there might be a way to make it work, however you would have to be very aware and plan for a way to not reinvent the same losing dynamics. It might not be possible.
Gulf states have little to nothing in common with Palestinians. Citizens of most gulf states are born into relative wealth merely by the fact their countries are rich in petrodollars. They build lavish cities and have standards of living (for their citizens) that increasingly put the West to shame. They are "diversifying" from oil by building massive AI datacenters and essentially catering to Westerners who want to live unencumbered by Western pretensions of civic duty, avoid taxes in their home countries, etc. They make deals with the Israelis and have for over a decade now, even if under the table. They buy American weapons, their elites have frequently been educated at the most exclusive British or American universities. They like expensive Italian cars. Money is money.
Meanwhile Palestinians are born poor, in a failed state with no autonomy. Some UAE crypto influencer is yolo gambling away more money than most Palestinian kids will see in their lifetimes. They live under an occupation and have basically no rights in that regard. They are poor. Just google image a picture of Gaza vs the UAE. It just doesn't even compare. Maybe on some level they are both Arabs. But the same rule applies. Money is money.
The gulf state governments gave up on trying to care about them many many decades ago. They realized it was cheaper (and more prosperous) to go along to get along with the United States and Israel. If they hadn't, their capitals might look like Tehran right now. Over the years it became easy to blame other people for the problem - Iran, even the Palestinians themselves. They have long since washed their hands of caring.
Don't conflate the Gulf States with Palestinians, or associate them with anyone on the losing side of anything when it comes to money and power. They are as corrupt and bought-in to this system of wealth/might makes right as anyone.
The biggest shocker to me has been just how "cheap" a lot of people are to buy off. Mandelson is complaining about air miles FFS. So much of this is a few thousand here, some fancy tickets there, a jet ride elsewhere, etc. In my mind it was always much, much bigger sums that people were selling their countries & souls out for, sadly, it turns out a lot of people, even in really high positions, are shockingly cheap.
[1] https://en.wikipedia.org/wiki/Relationship_of_Peter_Mandelso...
That's a wildly low sum of money for a 5 minute personal call, let alone even a modest intervention.