Rav Ovadiah Yosef, Rav Elyashiv, and many others of their stature, had halachic disagreements with other Poskim and Rabbanim.
These Poskim still maintain their status in Klal Yisroel, as mature people know the disagreements are l’shem Shomayim .
However, the peanut brain critics will continue to complain and spew hatred as did Korach and his ilk.
