That sounds great, and very different from what GP said ("make French/Spanish/etc the second foreign language they learn after Latin&Greek").

Edit: I will still say that Greek has little relevance to common English vocabulary, though it is very relevant to almost every scholarly domain. The same is true to some extent for Latin - as the vast majority of non-scholarly Latin words in English are actually borrowed from French, and have (Old) French spelling and pronunciation, not Latin ones.