Nice try, but no.

A feminist argument I've been hearing more and more often lately is that anyone, and in particular, any woman who opposes feminism should logically also oppose equal pay, suffrage, etc.
NO.
FUCK NO.
This is another spin on the same equivocational nonsense as ever. 'You can't oppose us because we have this name, because this name means this thing and if you oppose us you oppose this thing."
Having inherited a label does not mean that you stood for the same things as the previous owners. it doesn't matter what the movement calls itself. Modern feminism does not have the same views, the same goals,or even the same proponents that it did back when it made those strides.
Third-wave feminism is not first- or second-wave feminism and it has no right even calling itself the same name, let alone trying to take credit for those movements' accomplishments, and it CERTAINLY has no fucking right to demand that anyone who oppose it forego any benefits they might receive from what those movements did.
It is perfectly consist to be anti-feminist and oppose the dishonest, hypocritical, responsibility-abdicating, censorship-promoting victim-culture CULT that modern feminism has become and still have respect for what actual advocates for gender equality have accomplished and never let anyone tell you otherwise.