Thousands of Jewish ultra-Orthodox men have clashed with Israeli police in central Jerusalem during a protest against a Supreme Court order for them to begin enlisting for military service.
The vast majority of Hareidi Jews are Zionist. There are small groups totalling a few thousand who are Anti Zionist but live in Israel.
The Ultra Orthodox majority not only supports the state, but are represented by religious parties in the current government under Netanyahu.
Edit: Survey data shown below shows that although Hareidi Jews in Israel participate in the government, are represented by designated parties, and those parties are members of the current government under Netanyahu, the majority of those same people consider themselves either "not too" Zionist or "not at all" Zionist.
Yes aleph posted links to survey data below that shows most Hareidi Jews do not consider themselves "somewhat" or "very" Zionist. Hence that statement. I was basing my statement on government participation. Hareidi Jews vote at or above national voting rates, and their parties (Shas and UTJ) are members of the governing coalition. Anti-Zionist parties (such as Ra'am) would never be willing to join a ruling coalition.