No, there's no direct way to do this at all, I'm afraid, although there is a slightly long-winded way of getting the section settings and durations. First, in the Remix controls, there's an option that says 'split remixed clip into sections'. If you do this, it will reveal all of the sections, along with the cross-fades at each point. If you now ungroup this, you can slide the clips apart, and make a note of the timings of each one. If you do this with the other track's timings (assuming they start from the same point on the timeline), then you'll end up with the same cuts, but you'll have to redo the cross-fades.
But surely if you have identical tracks apart from the vocals, setting them both to be the same reduced time will result in the same results anyway, won't they? The analysis algorithm hasn't changed, and as far as I'm aware, it doesn't listen to vocals... 
(Yes I know that the timings are given in that black line at the top of the waveform, but they're so small that I couldn't read them sensibly!)