They also wouldn't want any newcomers or ones who are vehemently against AIPAC or Israel.
Otherwise, their BS would be much weaker.
Still, a lot of countries support Israel when it comes down to it (UK/Germany their next biggest ally). But whenever there is anything viable in NATO/UN, US always vetoes it, so the biggest dog they have is US and why they spent the most money and influence there. They can never ever have US even slightly waver in their support. All those weapons and money would weaken them considerably.
It's why they wanted US to stop the Iran bombardment, their Iron Dome stock was getting dangerously low and it takes a time to replenish since they can't produce that many.