It's easy to sit back and mock the Arab nations response at Israeli aggression but not sure what you expect them to do. Other than Iran, no country in the Middle East has any real deterrence. The Arab countries mostly field Western weaponry which the US won't allow to be used against Israel.
If anything, making a stink about Israeli attacks and keeping it in the news is the only option for a small nation like Qatar. It creates anti-Israeli sentiment (especially in EU because of large Muslim pop.) which could put pressure on companies and governments to cut (or reduce) ties with Israel. If anything, the West's unconditional support for Israel could ultimately lead to Arab nations diversifying away from the US.
No they won’t. Not when their elites park most of their money in Western banks or assets.