No they don't.
Zionists instead try to use the term Zionism in a pretense for speaking for all Jews, when in fact it represents only the present hardline government.
As a 2010 poll of Jews found:
http://www.haaretz.com/print-edition/news/anshel-pfeffer-poll-u-k-jews-support-israel-but-want-hamas-talks-1.306292
That comes from a poll of 4,000 Jews who call themselves Zionists. The present government represents Jews as much as Harper does Canadians, and just as Harper is increasing hatred towards Canadians and Canadian policies worldwide, the present Israeli government is doing the same. Would the government represent the will of all of Israel, and respect human rights for all, I'm sure that international pressure would lessen.
Zionism is a policy, not a people.