I would tell yes , co education gives broader mind to students and it helps to understand each other which may be helpful when we step into a job also it removes shyness , so yes i would tell it's a good idea.
As long as you want equality of the sexes, you must have co-education. Keeping one sex from what is considered a good school, means that the people from that school have a better chance at good jobs. How would you feel if MIT suddenly said no more female students?