It's on the low end, less than Japan more than Brazil. The real issue is they don't share strategic interests largely by being on the other side of the planet.
EDIT: You seem to edit that part in, well if the US some how manages to strip any interests in the near east then yes they do not have that many strategic interests (outside of trade, research and industry).
However as far as values go the are more or less on the same page, the only difference it's considerably more easy to commit to your values when everyone around you plays by the same rules. That said the US is probably the worse as far as it comes to actually living by their values of most western nations.
Values wise it's different cultures, languages, religious landscapes etc. Sure, nominally we are both liberal democracy's that value free markets. But, in practice things like immigration policy's demonstrate huge differences.
PS: That said we do have close ties and are Israel's largest import and export partner.