Could the current climate change events cause long-term problems in the viability of Earth to sustain life? There are a lot of reports on the consequences of climate change for the relative short term. From what I understand, in the next 100 years or so, we will face:


global floods of coastal areas, causing large-scale migrations;
desertification of desert-adjacent regions, leading to more migrations and less arable land;
more and longer periods of drought and heatwave, leading to failed crops and hunger epidemics;
changes in local climate, leading to changes in biodiversity and possibly introduction of pathogens in areas that before were inhospitable to the carrier;
...


I might be totally mistaken here, but while these things are definitely cause for serious concern and good reasons to take action, they don't seem like they could cause the end of life on Earth as some people claim, or even the extinction of Humanity. I'm fairly sure that even though loads of people might die due to the consequences of climate change, humanity as a species would probably survive. I might be wrong though.

Could climate change lead to the extinction of humanity?
There is one scenario in which climate change could render the Earth inhospitable to life in general, which would be a runaway greenhouse effect.  In a runaway greenhouse effect, the Earth would get so hot that the oceans start to evaporate, adding more water vapour (powerful greenhouse gas) to the atmosphere, which will make it hotter yet, until Earth ends up like Venus.
However, the current scientific consensus is that a runaway greenhouse effect as a consequence of anthropogenic global warming is not possible.

Life in general will almost certainly go on, and most consider it unlikely that the survival of humanity itself is at risk as a direct consequence of climate change.  Many other species, however, will likely disappear, as has been widely documented in the scientific literature.  As an example, complicated ecosystems depend on coral reefs, and as things stand, there may not be any coral reefs left by the end or even the middle of the century.  This will be disastrous for significant subpopulations of humanity (I've heard in a talk last week than 400 million people depend on fish supported by ecosystems around coral reefs), but it will not by itself cause the extinction of mankind.