It's not confusing. It's looking at the world through a lense of class struggle and Imperialist interest.

I literally never said individual politicians aren't effected. But calling the US the "dog" of Israel is backwards. American capitalist interest are literally being enacted by our attack dog in the middle east.

If it helps you. Thinking of Israel as America's 51st state and APAIC as it's largest industries lobbying group would be closer to what the material relationship is. It's largest industry is just Americas settler colonialist project in the middle east.