This is infeasible, there are already millions who are struggling to get by with existing energy bills, and without enough cash to upgrade to more eco-friendly systems. These people are stuck on fossil fuels, increasing taxes for it across the board is just going to cause more pain, suffering, and homelessness.
A better idea would be progressive taxation built into income tax. The higher-earners also tend to be bigger polluters, so it makes sense in that regard as well.