Israel is not going to give away its security and heritage to get a better press. Israel is an ally of the US not its poodle. The 1967 lines is easily understandable for those who don't want to think too much but this is a complex situation and requires working out a solution.
US rally shows support for ex-Marine held by Iran on spying charges (AP)
from the article: Netanyahu tells Obama: Israel cannot go back to the 1967 borders