First, let's get some things straight. The AIPAC doesn't lobby (i.e., "dictate") for the State of Israel; they lobby ONLY for the lunatic right wing fringe of Israel. Said differently, they lobby for a gaggle of extremist, billionaire religious fanatics.
Israel's Labor Party, for example, is certainly not “represented” by the AIPAC, nor are internet sites like J Street (among MANY others!) who passionately speak for that large and honorable part of the Jewish Community (in and out of Israel) who want to end the bloodshed with diplomacy and compromise – not the rationalized genocide of the AIPAC.
This matter would be basically insoluble if the war mongering AIPAC was the true and complete voice of Israel, but the good news is that they aren’t. Indeed, this incredibly costly smoke-screen illusion is their ultimate power -- not their blood money bribes of nearly our entire government or murder in the name of God “justifications”.
If and when Americans finally take it in that a relatively small number of VERY rich and VERY right wing Israeli's are controlling the entire Middle East through their bought and paid for control of America's foreign policy, we should feel an indescribable shame that we have allowed our country to be reduced to an obedient pit bull of a relative handful of elite/fundamentalists from ANOTHER COUNTRY!
Surely, once a critical mass of patriotic Americans finally wakes up and sees the "neocon cabal" for what they were (and still are), we will tell them to take their blood money bribes and stick it where the sun doesn't shine.
My God, do we still even know how to spell words like morality and rationality (obviously, our mouse-souled congress doesn't!), at the same time we allow ourselves to be bought body and soul by these ultra right wing fanatics?
Also, we should also NEVER forget that the State of Israel DIDN'T EVEN EXIST before Palestine was "internationally raped" by paper decrees in 1948 (a carry over of the infinitely arrogant and genocidal “British Empire”) which told them their country was no longer their country, but a host, merely, for (surprise! surprise) “another country”.
However, they keep being punished for remembering that fact – although you can be certain that even after a thousand years they will never forget it.