Israel sponsored Hamas along the lines of their long-standing 'divide and rule' policy towards the Palestinians (they didn't want to deal with the PLO). The coup you speak of was instigated by the US who did not accept the election results in Gaza. So much for spreading democracy.
Yemeni Shiite rebels to form own Cabinet in 10 days (AP)
from the article: Israel ranked 14 on global terror index, considered at 'extreme risk'