The bottom line is that your softened water is devoid of beneficial minerals, overloaded with sodium, and also quite high in potentially detrimental Alkalinity. Only the likes of robust Porters and Stouts would 'potentially' bring with them sufficient grist related acidity to mash at an acceptable pH when presented with such high Alkalinity. So along with a need to re-introduce the minerals that the softener has removed, there is a need to acidify whereby to suppress the Alkalinity.
In fairness, the high Alkalinity would still be there for your pre-softener water as well, as softening does not impact Alkalinity sans to perhaps increase it somewhat (with this increase in Alkalinity being my direct experience as verified via Alkalinity neutralization experiments undertaken for my well water and softened well water). For the pre-softened water the sodium would be far lower, and beneficial calcium (which the softener is replacing with sodium) would be present.
To reduce the sodium you will need to cut your softened water by at least 50% via blending it with RO or distilled. You may want to consider getting an under the sink RO unit installed at your kitchen sink.