Alright. I would ask though, that if I continue to answer your questions, I'd like to see some rebuttals to those replies that I work so hard on. Unless you want me to assume I leave you speachless with my impeccable logic and wit. 
1/ Where is the homeland of the Palestinians, and at what point did the Jews take control of Israel?
I'm not sure of the history of the Palestinians as we know them today, but the general overal history of their peoples is that of scattered nomadic tribes who have felt a deep hatred toward the Jewish people since they first gathered in this world.
The fathers of Judaism first came to the area when God told Abraham he had a new land for him and his children and descendents. Or, if you fully reject any sort of religious implications or faith, then when Abraham thought God sent him to the area. My history is not good enough to show you exactly where he first settled. Generations later, his people had gone to Egypt because of famine in the land, eventually to be enslaved by Egypt. Moses led the enslaved Isrealites out of Egypt and to Isreal. The Isrealites have held claim to the land ever since, no matter how many times they have been scattered by conquering nations. It's a fascinating history to study, whether you believe in the Jewish or Christian faiths or not. You may not believe that Moses miraculously parted the Red Sea, but it is irrefutable fact that the Isrealites have held that land since then.
2/ Are you by any chance a Jew, because (and I don't mean this in a derogatory sense) you seem incredibly biased towards a group of people that kill dozens of people, woman, children included, a week.
I'm not offended by the question. So far as I am aware, there is not a drop of Jewish blood in my lineage. I don't practice the Jewish faith. I am, however, a Christian, and therefore hold a great deal many of the same beliefs and something of a common history. (The Old Testament of our Bible.)
I have never denied that innocent lives sometimes fall when the Isrealies retaliate against the terrorists that constantly attack their country. It is tragic beyond words. But I still don't see how that can compare to people repeatedly strapping bombs to themselves and stepping onto crowded busses or into crowded shops with the full and knowing intention of inflicting as much death and destruction to innocent people as possible.
3/ Is the US' attitude towards the Jews in israel in any way swayed by the sheer financial influence they have in your country. If they invaded another country for example, would this still be OK, just because they're your allies?
I have no idea how much true financial sway Isreal has in our country. I don't believe that has much to do with it. Much of our reasons for the support of Isreal come from the reasons I stated above. When God spoke to Abraham, He said, "I will make you a great nation; I will bless you and make your name great; and you shall be a blessing. I will bless those who bless you, and I will curse him who curses you..." Genesis 12:2,3 Many people believe that this holds true to this day.
So...if Isreal turned around and attacked us? I'm quite sure we would defend ourselves and the alliance would be shattered, for ill or good. But asking such a thing is like asking "What would you do if your best and most trusted friend held a gun to your wife's head and threatened to blow her head off?" How likely is that to happen and what good does it do to speculate about such things?
2/ So even if this war creates a hundred more terrorists for every one killed that should be classed as a success story, and the killing should continue.
I believe it is an exaggeration in the extreme to say it creates 100 for every one killed. But in all honesty, the final outcome cannot be known until such end as may come. It is risky...sure. But what good thing in life is without risk?
I'll try one more time: The war is not about killing terrorists (although there are many we'd like to see dead), it's about making it impossible for them to do what they wish to do, which is sowing chaos and destruction in our world.
I hope you'll do me the courtesy of responding to the answers I've tried to give.
Thanks,
Judy