I didn't say you did.
If you care about property rights and the right to free association, you ought to agree with it. Why? Because just as nobody has the right to tell you who you can invite to, say, a dinner party, neither does anybody have the right to tell Augusta who they can invite as members of their private club.
And just as Augusta's management are free to invite and reject whomever they please, so are you granted that right. And so are the feminazi complainers when they decide to start their own private golf club.
Its not about exclusion or inclusion - Its about freedom.