Here's my op-ed that uses long-term orientation, probabilistic thinking, numeracy, consider the alternative, reaching our actual goals, avoiding intuitive emotional reactions and attention bias, and other rationality techniques to suggest more rational responses to the Paris attacks and the ISIS threat. It's published in the Sunday edition of The Plain Dealer, a major newspaper (16th in the US). This is part of my broader project, Intentional Insights, of conveying rational thinking, including about politics, to a broad audience to raise the sanity waterline.
We would first have to agree on what "cutting the enemy" would actually mean. I think liberal response would be keeping our society inclusive, secular and multicultural at all costs. If that is the case than avoiding certain failure modes like becoming intolerant militaristic societies and starting unnecessary wars could be considered as successful cuts against potential worse world-states.
Now that is liberal perspective, there are alternatives, off course.
Nobody who says "at all costs" means "at all costs". It's a way of avoiding a discussion of what costs are worth paying and what paying them will look like.