I agree with Jabo, the logo should NOT incorporate non-Jewish flags and symbols. The very concept of a Jewish org using a Cross, the symbol under which millions of Jews were murdered, is completely unacceptable.
The US and Israel are not both of my countries, only Israel. I feel gratitude to the US for how kind they have been to the Jews and I truly wish for the US to prosper, and while in the US the Torah commands I serve her, so long as she doesnt turn on the Jews. But it is not my country or the country of any Jew, we have one people and one country.