The fact remains, in the UK you can, as a legal immigrant, criticise the government,.criticise government policy. I, if I was an immigrant to the US would not have that right. I would, under the current (republican) administration's policies, be vulnerable to having my visa removed. Jimmy Kimmel as a left wing comedian argued against cancel culture, and in favour of people like Joe Rogan right to talk. You, as a republican voter do not believe Jimmy Kimmel should have that right (although apparently Joe Rogan does. Which shows consistency)
I completely agree that many on the left have been happy to cancel speech when it suited them. But it isn't everyone on the left. And it definitely isn't only people on the left. It's hypocrisy to complain about left wing cancel culture and then glorify in doing exactly the same. Or to claim moral superiority