Some yeshivish types are modern orthodox. Some hasidim are definitely zionists. Sefardim are all over the board in terms of the issues that define “hareidi.”
Hareidim can be hasidische, yeshivish, or Sefardi. What defines hareidi isn’t agreed on, but it clearly isn’t clothing,nusach, style of davening or parnassah. It probably includes non-recognition of the Israeli government (following the views of the original Satmar Rebbe, and rejecting the views of people such as Herzl, R. Kook, or the state rabbinate of Israel), or at least holding that the Israeli government has no halachic legitimacy (though it might be afforded the same respect under halacha as was afforded the British and Ottoman Empires).
While there are correlations with clothing, style of davening, and strictness or creativity in interpreting halacha — these are correlations rather than defining characterisitics (i.e. if someone is wearing some form of frock coat rather than a short suit, the person is more likely to be hareidi than “modern” in terms of haskafa, but not inevitably so– you have many hareidim wearing modern clothes and some religious zionists wearing the sorts of long suits that have been unpopular for the last 90 year, since King George stopped wearing them). Parnassah isn’t a good way to define since there are hareidim who earns lots of money working with or selling things to goyim, and many religious zionists who learn Torah all day.