The situation is even more complicated) While the general population would probably be okay with just being left in peace, there are radical groups like Hamas who want to take back what was taken from them by the British and Israel.
As you said in your edit, the situation is extremely complicated, because it involved groups that are historically opposed for generations, if not centuries.
Simple Answer: Yes.
Everytime we launch something into space the mass of Earth itself decreases by that amount. There is also energy trade off with the mass stealing a bit of earth’s momentum/energy for it to continue as well.
Overall, we’re talking about absolutely micro, if not smaller changes in mass and energy and it ultimately has zero affect on anything.