The most stringent proportional response available to punish people for creating these "deep fakes" would simply be for those offended by the practice to do the same in return. That is their right, of course—turnabout is always fair play—and it may help reduce the impact of the original fake video, but it's unlikely to be seen as much of a punishment.
> as these people have their own, more important rights to their body and images thereof
Nonsense. You do own your physical body, of course, and consequently have the right to use it as you please, but there is no right to control images of your body. That would be tantamount to claiming the right to control the contents of others' minds.
Note that your right to use your body does not imply that you have the right to use others' bodies or other property as you please just because your own body happens to be involved. Owners have the right to veto any action which affects their use of their property; in other words, you have the right to do whatever you want as long as it involves only your own property, but need others' consent if your actions would impact their use of their property.
Regarding the image: (a) the image (the content, as opposed to the physical media) is not property; (b) even if it were, it would not be your property; (c) even if it were your property, someone else's use of the image would not have any impact on your own ability to use it, so you wouldn't have the right to veto that use.
Rights sometimes overlap, but they never conflict and are certainly never "trumped" by other rights.
> but there is no right to control images of your body. That would be tantamount to claiming the right to control the contents of others' minds.
There is, it's called copyright. At least where I live you own copyright on the image of your face and body. That gives you the right to tell others how and when that image may be used.
And you would certainly have the right to veto certain uses of your image.
Rights conflict and some rights can trump others. For example, the police may place the rights of others not being hurt over your right to bear arms in the US. If you spoke loud enough with a megaphone into someone's ear, their right to not be bodily harmed would conflict with your right to free speech and likely would trump it.
Another example would be religious rights; they frequently trump other rights and laws and some laws and rights trump your freedom of religion.
Rights aren't equal and black and white, they have an order of importance that depends on the situation and their importance to society.
> as these people have their own, more important rights to their body and images thereof
Nonsense. You do own your physical body, of course, and consequently have the right to use it as you please, but there is no right to control images of your body. That would be tantamount to claiming the right to control the contents of others' minds.
Note that your right to use your body does not imply that you have the right to use others' bodies or other property as you please just because your own body happens to be involved. Owners have the right to veto any action which affects their use of their property; in other words, you have the right to do whatever you want as long as it involves only your own property, but need others' consent if your actions would impact their use of their property.
Regarding the image: (a) the image (the content, as opposed to the physical media) is not property; (b) even if it were, it would not be your property; (c) even if it were your property, someone else's use of the image would not have any impact on your own ability to use it, so you wouldn't have the right to veto that use.
Rights sometimes overlap, but they never conflict and are certainly never "trumped" by other rights.