There are many many many reasons why Republicans do not agree with the Democrats.
But unless they both agree on the fundamental system that delivers power - whether they are in power or not - then it becomes either a tyranny, or a revolt.
I won't go as far as blaming all this on Brexit, but the dangerous notion that 51/49 means the 51 can piss all over the 49 started somewhere.
And a split like that in democracy can easily be used to justify ignoring women completely. After all, why should their 49% count against the 51% ?
And FPTP systems pretty much institutionalises that winner-takes-all view of political life.