Under the libertarian and anarcho-capitalist instantiations of free society, you are free to find like minded individuals and establish the egalitarian community and society you desire.

You are free to opt in or opt out of any social contract you care to enter into, with anyone you care to associate with.

Unless I’m misunderstanding you, the freedom you espouse would involve forcing the libertarians and anarcho-capitalists to submit to your system of “freedom” even if it goes against all their deeply held beliefs about what is just and right.

If you are talking about your right to willingly and voluntarily form and participate in a “free” society of your own making (focused on equality, “a society in which each strives for the common good”), then we are in agreement.

However, if you are suggesting that you must be “free” to impose your conception of what constitutes an ideal social contract on the rest of us, then our level of agreement is near zero.