There is no way to automatically do what you want, however I may have a workaround (though it might be too much work for you to do.)
Where the lines overlap, cut the topmost line where the overlap starts and ends. You will have a line that is just the overlap.
Now stroke that line that you just cut with both overlapping strokes. I'm assuming that you have Illus. 10 because earlier versions don't let you apply multiple fill/strokes to one item. From there just nudge the dashes so that they do not overlap anymore.
Not the ideal solution but a workaround nonetheless.