Unfortunately, the most of movies are too far away from reality for the sake of action.
If you see Flaviviridae for examples, then you will see that lethality rate of Flaviviridae family members is slowly decreasing in case of consequent infection. First transmission of "wild" strain from animal to human results with almost 100% deaths, but next transmissions (from one human to another and so on) produce strains with lower lethality rate. And after 10-20 consequent transmissions we're getting a strain with "only" 60% lethality rate, for example. It seems that virus adaptation process went similar in the wild nature. A sequence of transmissions from one monkey to another eventually created an adapted strain, which is harmless for them. The purpose of natural selection is a survival and continued reproduction in the future. For this reason, any "new" virus is always has a high virulence, but as a result of adaptation to unknown host species it becomes less dangerous for them. Because it is more beneficial way for the virus, which leads to greater amounts of copies of viral genome.
This may be true for Ebola since its been around for a few decades.
What if in the future there is that initial animal to human transmission but it happens in a highly populated area and spreads to other locations before it could be contained?
Should I be scared then?