It's very hard to distinguish Orthodox from Haredi. The Hirschian or Frankfurt Haredim believe in broad secular education, while the Vilna or Lithuanian Haredim believe in less secular education and the Hasidic Haredim tend to have even less secular education. Some Haredim support the state of Israeli while others are more neutral about the secular govt. Most Haredim I know, and I live and work in Haredi circles, would describe themselves as 'Jewish' rather than using a label like 'Haredi'. This may account for some of the problems involved in counting Haredim.
U.S., allies conduct 1 air strike in Syria and 11 in Iraq against ISIS militants (Reuters)
from the article: Four surveys yield different totals for Haredi population