In combating international terrorism in Latin America the great challenge is, unquestionably, the strengthening of institutions within nations, without which public assets, including security, cannot be guaranteed. When public opinion is consulted within the region the tendency is to look at how societies view the threat of terrorism and its relationship, for example, with the image of the United States, its foreign policy in particular and its means of addressing terrorism. Nevertheless, one point not usually noticed is that public opinion is also a factor to bear in mind in the struggle against terrorism, because it can be a condition for, although it does not determine the responses of institutionally weak states and can also detract from their institutional growth. Based on the Argentine experience, in which public opinion did not recognize the threat of international terrorism and a shortage of institutions dealing with it, the present work attempts to alert readers to that importance and propose a model of possible scenarios for bringing together the variables of public opinion and political will.