That's a long term plan. People are clamoring for action 'now' and want this to end preferably next week. To tell them that there is no 7 day solution to this is going to be a very tough sell.
I think the response should be a careful, cursory action that acknowledges the public demand for retaliation, but all else put into the long game of building resistance to radicalised violence - working on education, poverty, etc amongst the communities where agitators source members. We should be encouraging people to find common ground rather than react aggressively, even if that is the gut response.
I am very irreligious, but there was a great comment on HN the other day about a fairly orthodox Christian finding that they had more in common with a fairly orthodox Muslim colleague than with other atheist co-workers.
Often the political and public reaction after an event like this is to focus on differences (language, clothing like burkas, etc) rather than things like a love of family, of food, sport, music and so on.
I live in Australia and our new prime minister is far, far better at this than the previous us-vs-them dog-whistler.
perhaps it would be hard to sell it, unless it is being sold as the only way to truly put the brakes to the trend (if there is actually an upward trend).