There are already travel warnings issued for the US.

And unfortunately, the UK cannot go about starting international spats and trade wars with the US. That's a one way ticket to heavy recession and mass poverty.

The most we can realistically do is travel warnings and publishing stories like this.

The UK Tends to warn not ban travel.

We have levels of warning that equate to. You are all on your own if shit happens.

Down to the be very careful to follow rules level the US is currently under.

But proscription of travel only happens in a open we are at war setting. And rarely even then,

The US on the other hand will do it for political disagreements. Like Cuba.