That is a strawman perpetuated by right wing think tanks like the Heritage Foundation. The portfolio of renewable energy sources include wind, solar PV, solar thermal, wave, current tidal, geothermal, and biofuels, between them there is no question they can replace not only fossil fuels, but eventually nuclear also.
Sorry that is a joke right?
Of wind, solar, hydro, and tidal wind is the only technology in short term that can provide meaningful increases in delivered energy.
Solar. Really? I mean you want to go there. Solar (PV & thermal) provided 0.02% (rounded) of total electrical demand. How many times will it need to double before it is 1% of electrical power. The unsubsidized cost of PV solar is $0.30 or more. Thermal solar is a little better but even the planned plants are tiny and the numbers are pathetically small. It would take an increase by a magnitude of 10x to even get to the whole % part of global energy.
Hydro is a good form of power but it is nearing peak capacity in many parts of the world. Lots of plans to bust damns not build more. Hydro causes extensive ecological damage. While hydro will slowly grow we will not see a massive increase in hydro as new capacity will compete against damn busting and energy growth to keep net gains small. Wind will double in next 4 years. Hydro will not.
wave & current - no meaningful power plants have even been developed. Maybe they will someday but until we see megawatts of capacity and unsubsidized price it is silly to guestimate how much they will provide.
Of all the alternative energies, wind is the only one anyone (in a place of power) is making claims can provide a "substantial" increase in capacity over next two decades.
Even the most optimistic goals of real plans (like wind industry and countries) are far more modest than your lofty dreams.