How are the images of bostonians paying the excise man and the able doctor, or america swallowing the bitter draught, most similar?

Both images show tea that is forced down a person's throat as an act of violence.

Explanation:

The able doctor, or, America swallowing the bitter draught shows Lord North, with the "Boston Port Bill" stretching from a pocket, forcing tea which is a grave act down the throat of a partially draped Native female figure representing "America" whose arms are then restricted by Lord Mansfield, while Lord Sandwich, a widely-known womanizer, restrains her feet and looks slyly up her skirt. Britannia, standing behind "America", turns away and covers her face with her left hand.

Bostania paying the excise man image shows five men coercing custom officer and forcing tea from a teapot down his throat. The liberty cap as well as bucket are down on the ground of his feet.