With reference to the cartoon, the argument would go as follows:
Use choice of the caption is a classic example of petitio principii a classical logical fallacy. There are presupposed facts- a typical leftist argument. We are not debating values but assuming that the USA values are skewed. Are you still beating your wife?
I have a right to defend myself against tyranny no matter what the source. This includes the government and especially the government. There are many cases in history where governments turned on their citizens and massacred them. There is not guarantee that they will or will not do so.
To make medical care a "right" really means you have a "right" to the services of a doctor and you have the "right" to consume the wealth another has produced. This means the state can force the doctor at gunpoint to treat you and extract wealth from others, at gunpoint, to do so.
Q for lefties: I though you did not like guns or is it just guns in the hands of those who reject your ideology?
