It's naive to dismiss *any links at all* between Zionism and an open borders agenda for America and Europe.
Historically, you'll often find both individual Jews and Jewish groups at the forefront of promoting immigration into America and Europe. Here's a recent article from an Israeli news source discussing a Jewish unified front regarding immigration:
"Ten Jewish groups urge Congress to allow Syrian refugees into U.S."
http://www.haaretz.com/jewish/news/1.686976
There are IN FACT wealthy, ardent Zionists such as Sheldon Adelson (American/Israeli dual citizen, and big Republican contributor) and Haim Saban (American/Israeli dual citizen, and big Democrat contributor) who are pro open borders for America, yet simultaneously advocate for a walled-off Israeli ethnostate with DNA-based (ethnically Jewish) immigration laws.
All Zionists aren't Jews - and all Jews aren't Zionists - but to dismiss the overlap between the two groups is naive. It's just as naive to dismiss the historical links between Zionist Christians, Zionist Jews and secular Jews, and American/European open borders advocacy.