Could you expand on this? There's a difference between 'hard to show through theory' and 'not falsifiable'.
Here are
http://en.wikipedia.org/wiki/Effects_of_global_warming
If the IPCC's recommendations on CO2 are not followed, which seems likely, we will directly test most of these claims.
As long as you have a definition of 'negatively impact', that can be evaluated objectively, it seems like 'Whether or not it will negatively impact our world insofar that we should try to prevent it' is eminently falsifiable, as there exists an experiment which allows us to see what happens. Expensive experiments, yes, but that's a different issue.
The argument is (generally) made that climate is changing; this will change various peoples' lives in various ways, and therefore must be avoided at all costs.
One rarely if ever sees a consideration of positive outcomes from climate change (and there certainly are some). We need to understand the pros AND cons. And then we need to use our own subjective values to consolidate them into a bottom line.
THEN, we need to understand what needs to be done to avert these eventualities, and what the costs of those efforts will be.
FINALLY, we can compare the costs with the benefits. But because the calculation necessarily included our subjective values of the different factors, it's not falsifiable.
Any policy debate is going to be far more complicated that any testable hypothesis and scepticism is healthy, but your comparison to eugenics is bullshit.