Sorry for messed up Subject.
In reply to Andrew's post :
I suspect that either your composer is wrong, or the time signature of the two last staves is not 4/4 but some kind of irrational timesignature.
Here is a compiled and correct layout following your specifications of polytempi done with lilypond. In Lily it is possible and pretty much cool.
I use it for my compositions where polytempi and polymetrics are current. It even plays the correct timing in midi ! The trick is to use scaleDurations based on a tempo of 60 but you can tweak it as you like.
the example of stave 2 and 4 of your example here: