In regard to the charedi-chardal split, they disagree on very important points. Chardal people serve in the army, learn in hesder yeshivas, pursue work, strongly promote living in settlements, follow the messianic zionist views of Rabbi Tzvi Yehudah Kook, etc. Most chareidim do none of these things, and think a lot of them are stupid, or even heretical. I hope that explains the friction.
Edited for respect to Rabbonim.