Okay, so in which component of society do females have "central roles of political leadership," "moral authority," and "control of property."
According to this pro-gal group, women control about half of all the wealth in the US.
http://www.socwomen.org/web/images/stories/resources/fact_sheets/fact_2-2010-wealth.pdf
We also see that women can individually amass great wealth & influence.
The Richest Women In America - Forbes
Add to all this the fact that political candidates must cater to women as half of the voting public.
In the last election, women voted in higher percentages & higher total numbers than did men.
By the numbers: Women voters - CNN.com
Obama would likely not be in office were it not for women voters, so he is an extension of their power even though he isn't one of them.
Women voters carry Obama to victory on historic election night | World news | The Guardian
Their power is enhanced by voting with some unity.
Voting gender gap - Wikipedia, the free encyclopedia
A matriarchy is, after all, by definition, "a society in which women have the central roles or political leadership, etc."
Would a patriarchy have a similar definition, wherein men have the central roles? Should the definitions be limited to government, & not
include business, media & lobbying? Certainly, men don't wield all the control. We see women as governors, mayors, & holding high positions
in the fed gov (although reduced a little under Obama). In business we see them with top positions in media & running companies. Sure,
there is room for their advancement, but it cannot be said that they don't wield great power.
They also benefit from affirmative action, exemption from registering for selective service, preference in child custody, & more social safety
net benefits.
It's certainly possible that biological differences could cause enduring differential
power, but we are not predestined to place all power in the hands of males.
Ignoring the fact that patriarchy and matriarchy are actually describing the political class and their society, (which is hard, because they we be mutually exclusive, let's see the evidence for matriarchy then.
If you see them as mutually exclusive, then this would create an either/or situation. Since we (I & most of us anyway) see
society evolving away from patriarchy as women assume more control, your view would suggest great discontinuity in change.
I see change as occurring more in small steps, with changing weight of various components.