Actually, "chef" in English has two meanings. The first one is what you say - the chief cook, but it can just as easily mean any cook. (http://dictionary.reference.com/browse/chef?s=t).
In job offers, at least in Ireland, the phrasing is pretty much always "chefs wanted", not "cooks wanted", regardless of what position they will actually have in the kitchen or the hierarchical connotation KimSCasey mentioned. Unless you're working in the food industry and care about distinctions there, for most of the population chef = cook in English.
Chef and cook are synonymous in English, although chef can also mean "head cook".
So if cuisinier is cook, what word means chef in French? Because apparently "chef" means boss/chief, which is not exactly the same as "head cook".
Can it only be translated as "chef cuisinier"?