Just wondering

I heard (briefly) President Obama's talk about Israel, "Palestine" and a 2-state solution to their issues. Just wondering why Obama thinks that Israel will agree to the 1967 borders that had Israel at just 9 miles wide in one spot, had Jerusalem partitioned so that part was Israeli and part "Palestinian", that had Jerusalem's Jewish holy sites predominantly within the non-Jewish part of Jerusalem. Jews were not allowed to visit their holy sites prior to 1967; 86 (or so) mosques were destroyed in Jerusalem under Muslim rule. What is the purpose of Obama's "solution"? It doesn't make a lot of sense to me, particularly considering the fact that the "Palestinians" constantly send thousands of rockets into Israel with the borders as they are... imagine if Israel was back to its 1967 borders.

And, just for the record, "Palestine" and "Palestinians" are in quotes because there is no such group of people. These people were either Turkish (way back), Syrian, Lebanese or Jordanians living in that area prior to the establishment of Israel as a nation. There has never been a state/government that was known as "Palestine".