I think you're optimistic if you think we'll have zero carbon electricity production in a few years, at a scale that will allow us to replace all NG and oil heating with electrical, especially without heat pumps.

Even if we make it a primary priority, and try to maximally ramp up both wind, solar and nuclear production (+ storage as needed), I don't think we will be able to do it in less than 30 year, 20 at best.