Not really, Alex Jones got famous by opposing the Iraq War.
And the panic will continue because of that. More people will get banned. It isn't a fallacy to believe these things escalate.
During the Bush era, the opposition to the authoritarian trajectory of the war on terror was largely from liberals, although it was often strictly partisan. Conservative media completely fell in line with the Bush administration. I thought this would change when Obama was elected, but it didn't, and authoritarianism remained a driving force in conservative politics and media throughout Trump's presidency.
COVID-19 has brought some more conservatives onto the anti-authoritarian side for sure. But I'm not confident this is a durable change.