Well, I don't know what you intend to shoot, but seems hard to go wrong with more lenses, especially L lenses. However, if the kit lens you are talking about with the 5Dmkiii is the 24-105 f/4L - that is a great lens too. If it were me, I would probably go with the 60D and more glass. Then when you get more cash, sell the 60D and upgrade to FF. I love FF, but it would be hard to pass up the combo of the 60D and something like a 70-200 f/2.8 is II. Man, that would be spectacular. Would be even better if you could forgo one of your primes and stretch for the 7D. Its hard to go wrong with higher frame rate and better AF, especially if you are photographing anything that moves.
I do find it strange that you are making a choice between the 60D (or upper Rebel) and a 5Dmkiii. Are you upgrading from a dslr? I would assume most 5Dmkiii upgraders would be coming from another dlsr body. Or maybe your question was just hypothetical.