I probably would rephrase parent’s comment as “one of the Most powerful political organization”
As a congressman/woman while considering a policy position against Israel AIPAC is probably the most powerful. Any case comparison of strength between corporate funded lobbyists and an organization with singular ideological is pointless.
What's the super charitable reading of "can tip the scales in almost any election"?
The parent commenter talked about political organizations generally. They didn't specify non-corporate funded lobbying.
Also, it's reductive and I would argue misleading to say AIPAC has a "singular ideology" (as opposed to some sort of umbrella of overlapping ideologies, somewhat akin to groups like the Democratic the Republican parties in the US).
More than the Democratic party? More than the Republican party?
More than these groups? https://largest.org/people/lobbying-groups/