This is a self-defeating and untrue meme.
Most Americans don’t say Israel is very important to them, favourably or not [1]. Historically, Israel was popular in both parties; that has now changed. As a result, being anti-Israel was dumb not because of some APAC [EDIT: AIPAC] conspiracy but because voters generally don’t respond to foreign policy issues (versus kitchen-sink ones) and the voters who would tended to were predominantly pro-Israel. So the safe electoral strategy has been, until maybe the last year, to say something nice about Israel and then move on.
So no, there isn’t some undefeatable (and frankly, steeped in historically-racist characterisations of Jews) shadow government. This is basic electoral incentives. Incentives which are shifting. Because if there is an undefeatable shadow government, there are better things to talk about and focus on.
[1] https://www.pewresearch.org/short-reads/2025/04/08/how-ameri...