To be sure that your team is behind you, you must explain to them why you are taking this approach. Share stories about serious breaches and how the corporate culture or bad decisions made them possible. But above all, no scaremongering: warn them of real dangers, but convince them that their alertness will ensure that your company doesn't suffer harm.
You can do this by, for example, setting up cyber warfare games. These are fake sessions in which cybercrime threats are simulated and controlled with no risk of genuine damage.