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Actually, what it appears that Supercesionists mean when they quote from Galatians 3:28 is that all Jews are supposed to look and act like pagan Gentiles<<
Actually, the way I would put it is that Christian Jews are supposed to live as Christian Gentiles. And vice-versa.
I don’t know about that “Supercesionist” thing.
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“...neither male nor female... So... men dressing up in women’s clothing is OK? Or, is there still some sort of distinction in male and female?<<
Context is your friend. It is critical, actually.
One can imagine the same arguments coming from the judaizers of Paul’s day matching with these neo-judaizing arguments of today. Those who cling to the weak articles of the former law, and seek to enjoin others to the same, are clearly living in the old Jerusalem under the decayed commandments (Gal. 4:24,25; Heb 8:13). The covenant from Sinai is a covenant of bondage. The law was not a bringer of justification but a pointer to Christ, a schoolmaster to drive us to the Savior. It was temporary and God had accomplished His task by it once Christ appeared bringing salvation to His people.
Food laws in particular were intended by God to separate one physical nation, ancient Israel, from all others. That was its function under the old covenant, pure and simple. It was not about health or any other such notion. Those who wish to remain under the old covenant are the ones keeping these laws today.
But under the new covenant where redemption is brought to all the nations of the earth, there is no need for such food laws, etc., in fact such food laws are anathema to the true commonwealth that Christ is building by His sacrifice on the cross. We are all children of Abraham by virtue of our faith in Christ regardless of or ethnic background to personal practices in indifferent areas like food. Anyone pushing food laws today are trying to erect the wall that was torn down by Christ 2000 years ago. They need to be opposed as dividers of the body. There is neither Jews nor greek (Ga. 3:28,29) among God’s covenant people; a statement these folks don’t seem to like.
So, after two millennium, another generation who read the apostles through the lenses of rabbinism are foisting their crippling theology on the Church, even upon unsuspecting gentiles, some of whom are even going so far as to be circumcised to prove their dedication (1 Cor. 7:18; Phil. 4:1,2). What they mock as “supercessionism” is, contra their faulty reading, new covenant reality. Not replacement, expansion!
“For on the one hand there is an annulling of the former commandment because of its weakness and unprofitableness, for the law made nothing perfect; on the other hand, there is the bringing in of a better hope, through which we draw near to God.” (Heb. 7:18,19)