So should the right try to get more left-wing people cancelled? If we’re talking about random people who’ve said something “problematic” (either now or in the past), I would say “definitely not”. First of all, trying to get someone cancelled is simply cruel, and the sort of people who engage in cancel culture tend to be sociopathic. Recall the paper by Erik Ok and colleagues which found that victimhood signalling is correlated with Dark Triad personality traits. There’s also evidence that mental illness is more common on the far-left, which might explain their proclivity for cruel behaviour.
In addition to being cruel (and indicative of sociopathy), it’s also a dishonourable way to attack your opponents. It’s the exact opposite of “Let’s take this outside”. In fact, trying to get someone cancelled is essentially the behaviour of a petulant five year-old. So unless you see the tantrum, the wobbly or the hissy fit as a model of good social behaviour, you ought to abstain from cancelling others.