Oh come on... this question is totally naive and simplistic. Its just not that simple.
Everyone knows that everything is intertwined. Its not a coincidence that the world's strongest military is also the world's richest economy. The two go together, and states that have tried to achieve military might without the economic power to back it up can succeed for only a small amount of time before collapse.
Any even then... "world's leading miltary" is a blurring statement in itself. Miltary conflict is so dependent on the will and conviction of the people involved, with a strong willed people willing to endure greater sacrafices equal to an advanced military unwilling to endure human losses. And heck, some of the world's leading economies are also world leaders in debt. Sort of a dicotomous reality. Not to mention that a country that leads the world in wealth and "standards of living" can, at the same time display large poverty rates, while a less rich country can possess less unemployment rates...
... so the question is moot, all competant leaders should realize this.