While the current crop of carbon capture technologies are rather inefficient and useless, once we've got more of a mastery of bioengineering, it's by far the best answer to the long term greenhouse gas problem (not without its risks though).
The tens of meters deep peatlands that cover Canada, Russia, and the rainforests of the tropics hold enough biomass to more than triple the planetary CO2 ppm if they were burned. Those peatlands only started forming 18,000 years ago when the glaciers started receding so we have hard evidence that nature is capable of sequestering mind boggling amounts of carbon very quickly. That suggests that if we engineered a system we could do it even faster. It might take us a century to develop the biotech to that point, but long term the solution is on the horizon.
If we had the political will now we could get a decent head start by industrializing seaweed, algae, and other fast growing organisms for CO2 capture.