Would people stop burning oil if there weren't people out there concerned with profit?
Yes. Not immediately—firstly, because the finite speed of light in a vacuum precludes simultaneity—but eventually, when relieved of rent-seeking intermediaries, we'd be free to invest in sustainable infrastructure.
I very much doubt it. For consumers it is all about cost. Heating in winter with Natural Gas is 1/3 the price of electricity and much cheaper than Oil.
To get people off of fossil fuels, remove oil subsidizes and tax fossil fuels a lot. Otherwise moving to renewals will take a very long time.
And yes, we can put up solar panels on your house, but that cost $ which people do not have. Solar Panels should be subsidized in an easy manner for people to get funds for installation.