Will have to disagree with you. This is a big problem.
Supporting Palestine (or more precisely, Palestinians) does not necessarily mean you hate Israel per se. As is evidenced in this thread, most of the people on this forum are opposed to zionist ideology, yet they most definitely don't hate Israel.
However, if you take 1000 pro Palestinian people and break down their viewpoints, 999 of them will have an anti Israel /anti Semitic foundation.
Keep in mind, holding Israel to double standards shows an anti Israel bias (which for the purpose of this discussion in translating to "hate")