I think there are good reasons why this proposal is going to be well worthy of a fuss.

Apart from the obvious ambience and noise problems there are two more possible dangers -

Vibration. Studies have been done at Stonehenge suggesting this can be a major hazard if the source is within 40 metres, which this would be.

Lichens. Britain's oldest is on one of the stones. Lorries diverted along there are bound to worsen air quality and lichens are notorious for upping and dying if there's even the slightest worsening of it, so....