Overcome the problems of global warming? Yes, without any doubt. (though thw "we" is a little misleading. I' for one, won't be around to see) The risk of runaway greenhouse effect (à la Venus) is minimum with the amount of water on Earth. Anything less and a few species will go extinct, a few million humans die, bits of the planet that at present support large populations become uninhabitable, lots of things which it would be nicer to avoid will happen - but the human species is adaptable, and if nothing but global warming is involved humanity will ride over the problems, particularly if the change occurs at a decently slow pace. (see also my aquatic thread)
Yes, I am convinced that it's too late to prevent climate change, and all the subsiduary changes it involves (Like losing two thirds of the worlds major cities) That doesn't mean we shouldn't do our maximum to slow it; the rehousing of some of the densest populations in the world will go much easier if a few decades rather than a few years are available for the task. Still, I'm convinced that, by the time it had been recognised, it was already too late to reverse the trend, but certainly nothing much ws done to slow it.
However, global warming might not be the only problem faced- and the loss of cities with universities and the general disorganisation of a suddenly migratory population might well complicate efforts to counter the other problems. I have no idea from what these problems might arise, but we're releasing literally thousands of new products into the environment, and into society every year, and some of these are bound to give problems - problems which would certainly be discovered and eliminated in a stable enviroment, but more complicated in total chaos.
It is this that governments could be doing: preparing their lowlying populations, building new centers of learning outside the regions most likely to be affected, making sure that populations can be housed and fed in case of increasingly frequent and increasingly violent weather events, that when an industrial region is overcome it doesn't pollute the entire region. Are they doing it? Not that I can tell.
Logically (which has very little to do with the argument I admit) insurance companies should be raising their premiums for danger spots, which should, if there ie enough lead time, give the financial stimulus required for direct industrial prufit based affairs ; but governments (who're using your money and don't need to make a profit) are much more difficult to predict.
Yes, I believe the time ahead will hold problems, but, with a measure of preparation, no insurmountable ones.