Every movement may have its flaws, but how would they be corrected without criticism? For the right, wokeness has so many glaring faults in how what and how it seeks justice that it would irresponsible not to speak up. Even worse, its just political correctness with a new coat of paint and more problems.
Wokeness focuses on too many fringe issues that the general public does not care about, so to make the rest of society bend to its will is foolish. There are other more important problems to face, like the economy, censoring of free speech, and big government that needs to be addressed. Solving those issues will make society fairer.