I'll just quickly run my take on why I think that free market will remain an opponent of any improvement of status quo:
Free market will always push for path of least resistance to maximize short and medium term profits. Right now, that is coal. Representatives of free market, swimming in money pervert the political system to ensure that whatever limits come out, they will not be hit by them to the extent where profits will be endangered. A good example of this is the carbon tax/quota trading scheme in Europe, that was basically diluted to uselessness by massive lobbying (read: corruption) by large power companies who want their cheap and profitable coal.
Green movement isn't helping here either. Their ideological, borderline religious anti-nuclear bend, combined with apparent lack of understanding the difference between "power" and "base power" results in things like Energiewiende, which once again results in coal build-up.
Then there's the whole "oil producers financing green terrorism to attack nuclear power generation from all possible angles" elephant in the room. Various power generation companies compete, and being huge conglomerates (not to mention entire states in some cases, such as Saudi Arabia) they have few qualms with using underhanded methods of competing.
Problem is, all these elements do in fact represent the current "free" market. As infrastructure build up involves a huge investment, that particular market will never be truly free, its strategic importance will ensure that it will always have to be tightly regulated, and the amount of money involved will be too great to not use underhanded means to take over if it becomes unregulated. And about the only way to stop the current massive perversion of it is a strong government intervention. Of course, Energiewiende is also a good example of what happens when government intervention gets ideological instead of practical, and guided by ideologists instead of engineers.
So in my opinion, we need a group of experts in energy generation, with proven experience, preferably from all over the world (so we don't get the "let's use hydro" etc) to work on a solution, that will then be implemented on governmental level. So far, there's zero political desire for this, even though the need is dire, and subject goes beyond national borders for many regions such as Europe.