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I'm already doing speed work & intervals as part of the marathon training 6 x 1 mile, 8x1k, 10x800, 16x400 etc... - I'll carry on with the speed work, and cut out the long runs.
By my reckoning, by the time I'm knocking out 6 x 1mile @ 3:50, I'll be comfortable running a sub-20, so I just need to find 15 seconds per km for a mile.
It would be nice to find a track that has few enough people on it to allow for running the wrong way round occasionally - I'm sure that running the bends is doing me no favours at all.
bummer...
It must be doable, and depending on how efficient you are it might be worth trying to teach yourself how to run basically from scratch and then start building from 400m intervals up to 800s, 1.5km and by the time you can do5 1.5km intervals you should be able to cruise it!