A better ad would be a pic of those firefighters watching a house burn down because the owner didn't choose to pay the fee to remain covered. Captions would be 'Wants less government' and 'Less government.'
See this wouldn't work because the person was given a choice and they were able to make it without fear of reprisal by government.
They took the gamble and lost and no one with Libertarian views would see how this would be wrong because the issue is not removing all options for government services, the issue is not having to prop up what you don't want or support with your tax dollars to justify the ever growing government bloat and removal of personal rights in order to support the expansion of big government.
So cheers and enjoy that government paid for and issued mace to the face and the "Wars on **insert bullshit unending reason for increased government intrusion and taxation here**" responsible for wasting our tax dollars and limiting our freedoms.