You need to drastically reduce the amount of detergent you are using. The usual 'recommended' detergent quantity is intended to compensate for some hardness. Since your water is now soft, the detergent does not need to compensate for any hardness. Your dw user manual may specify the correct amount of detergent to use with soft water.
With our dw's 2 detergent compartments, I only 1/2 fill one compartment only. While we had purchased hard tablets, I had cut them in half, only using a half tablet per load. As many of the newer pouches contain liquids, they will not cut without leaking so we now use either liquid detergent from a pour/squeeze bottle or a dry detergent.
Some dws permit adjustment of the liquid spotting rinse agent so that may be decreased also.
Similar reductions of laundry detergent and fabric softener are also necessary.