This woman is clueless. “Making it cool”? Rock on sister? It is more than that. If Paltrow is a Jew, her kids are Jewish BUT that is NOT being a Jew. Being a Jew means keeping the mitzvot. If She or her kids are Jewish (if not they can convert) and keep the mitvot, they are being Jews and the “elites” (what type of elite) will say nothing. This author should put her money where her mouth is and stop eating sea-insects and stop feeding her kid milk and meat together etc etc.
She is not, which is why conversion is the option for her children. Conversion, not "raising". I acknowledge that's a bit odd when mom isn't Jewish. I don't know much about hubby, faith or whether he's around, but that could be a factor.