I'm not sure that's true. Wokeness doesn't focus on actual harassment; it focuses on accusations of harassment, with a definition of "harassment" that is highly subjective and doesn't necessarily correlate very well with actual harassment.
> how we can do things like take sexual harassment more seriously
The problem is not that we need to take, for example, sexual harassment "more seriously". The problem is how to reduce how often actual sexual harassment happens. "Taking it more seriously" is a very vague and ineffective way to do that.
Try replacing "sexual harassment" with "murder" or "robbery" and see if it still makes sense.
How many innocent people get convicted of murder because of our desire to "take murder seriously"? (The Innocence Project has found that the answer is "quite a lot".) Note that every time an innocent person gets convicted, it means a guilty person (the actual murderer) goes free.
How many murderers get released back into society to murder again because our desire to take something else "seriously" has somehow overridden proper enforcement of our laws against murder? (I don't know if any specific study has looked at this, but my personal sense is, again, "quite a lot".)
So no, the lesson of experience appears to be that "taking it more seriously" is not a good way to reduce how often some bad thing happens, with murder just as with sexual harassment.