It takes a truly reactionary definition of "standard model" to claim that it's inconsistent with neutrino masses. The extension is straightforward and was not

It takes a truly reactionary definition of "standard model" to claim that it's inconsistent with neutrino masses. The extension is straightforward and was not part of the original formulation simply because there was no experimental data requiring it when Weinberg first wrote down his model of leptons. He also didn't include quarks, so by the same logic, the "standard model" is inconsistent with those too.