Also, moisture is going up and down the walls on all floors.i.e.

The problem set was the third where moisture had gotten between the angle iron brackets and stair treads.

Cast iron rads:- even heating- doesn't suck moisture out of the air- most people recommend keeping them if you have them as they are superior to baseboard or forced air heat. - doesn't require new ductwork.

Strip the bracing and forms off a newly poured basement, haul the heavy, moisture laden, filthy 9 ft sheets of plywood out of the excavated area up a slippery ramp and drop on the trailer.

In smaller bathrooms I have been pulling out the small vanities (they're usually pressboard) and putting in a pedestal sink which is impervious to moisture. 

Install modern laminated flooring with new sound barrier and moisture barrier-silver.

There are no moisture or water problems.

Ryan,If you can fix your moisture problem with the above mentioned sealants, I think your best bet is to patch the spall in the bottom face of the slab with concrete and then provide some sort of strapping system (steel/carbon fiber) in the short direction of the porch on either side of it.  

Hello,@Michael Donatucci I agree with @Irfan Raza about the possible cause of the moisture in the basement. 

In addition, he includes a thermal moisture test and house leveling test free with every inspection.