You don’t need that much testosterone to run a civilization.
It’s a long shot, but you never know: scaled-up humanity societies may still be around in 1000 years.
That said, men… will not be. Not in their current iteration.
The success of the former is conditional on the failure of the latter.
You don’t necessarily need to get rid of them. But you will definitely need generalized methods to suppress the primary regulatory substances that make so many of them act like such hormonal, emotional, shortsighted, vindictive bitches.