That is the organising principle of the entire mess and it is the oldest economic error in the book: the lump of labour fallacy. There are only so many jobs to go around, according to this view; let in more, or indeed any, immigrants and you are taking jobs away from Americans. The idea is nonsense. The US refutes it more plainly than any other country in history. The quantity of jobs is not fixed. Immigrants bring their jobs with them. Roughly speaking, each new immigrant creates one new job. Immigration expands the economy.
So here is how to make a paper "mouthpiece" dummy: 1. Download a picture file of the dummy from the internet.
2. Clip out a talking mouth piece and and overlay for the top of the face.
3. Attach the mouthpiece to the face base.
4. Cover with the top of face overlay.
Now you can pull on the tab and make the dummy talk! It can also be lip synced with a text to speech file containing the original boilerplate.