It's not only Al Jezeera, RT (the rapidly growing international English service offered by Russian TV) - see e.g.:  http://www.rt.com/news/israel-african-migrant-tent-330/  There is an alarming amount of hate towards Israel being spewed on a daily basis.

How about this "Campaign for Israel" take the form of the opposite of the so-called 'Boycott Israel - we can call it e.g., 'Buycott Israel'; in other words, an international online community of businesses that  are decidedly and explicitly pro-Israel and thus offering "special treatment" for B2B trading with other businesses that are same (pro-Israel); e.g., offering preferential procurement from pro-Israel businesses, discounts, special terms, sponsorships and other forms of collaboration. 
And, whilst we are at it, also create a blacklist of organizations (businesses/academic/etc.) that are against Israel and encourage members to refuse to trade with such organizations.