Yes, don't do it. Capacitors in the cap start motors get into an "argument" with the SCRs in the soft starter and it becomes a race to see which one fails first. The cap changing current looks like a short circuit to the SCRs and they can self commutate (turn themselves on when you don't want them to) causing damage to the SCRs, and the high harmonics from the SCR firing can over heat the caps and cause them to swell and fail over time. It will last for a while and may outlast the warranty on the soft starter, but not much more than that.
If you are having severe voltage drop on startup of a small single p\hase motor, it's much more likely that you have an improperly sized circuit somewhere in the mix. Find and fix that problem before you chase it with hardware.
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