Its not so much Anglo-American as American. it is extremely harmful in the UK. It ranges from the adoption of American vocabulary even when it does not fit with British usage (so causes confusion) or where its a bad fit because systems are different (e.g. education or policing). A lot of people (especially a lot of people who really should know better) understand British culture, politics and history as essentially the same as American which is entirely wrong.

The switch in which side opposes globalisation is an interesting one. That said the same seems to be true in the US and other countries too. IMO the left's abandonment of its opposition to globalisation is a factor in the rise of the far right.