If you're living in a house without active water issues (roof leak, foundation leak, etc), proper filtration/ventilation/de-humidification, and are still having reactions to mold; it's probably best to just move (like you found out). No need to tear apart the current house.
If you need supreme indoor air quality, that'd take the following:
- A fairly air tight building envelope
- Proper WRB and insulation strategy (exterior+interior in many places) for your climate (including basement) to prevent condensation
- Adequate continuous ventilation/filtration
Which is not feasible for most housing stock in the USA. You might be able to keep the framing, plumping/electrical, and foundation (if you're lucky). Framing is relatively cheap compared to the rest of the house.
If you need supreme indoor air quality, that'd take the following:
- A fairly air tight building envelope - Proper WRB and insulation strategy (exterior+interior in many places) for your climate (including basement) to prevent condensation - Adequate continuous ventilation/filtration
Which is not feasible for most housing stock in the USA. You might be able to keep the framing, plumping/electrical, and foundation (if you're lucky). Framing is relatively cheap compared to the rest of the house.