I have a reasonable amount of confidence in the more developed countries' ability to deal with cases of Ebola (though I don't think it's wise to be too complacent). According to the WHO website, Ebola is not contagious during the incubation period but only at the onset of symptoms - and, as has been said, is harder to contract than airborne diseases. Presumably someone who came from a high risk area who exhibited the Ebola-like symptoms would be quarantined. Also, assuming that every infected person was quickly identified and there wasn't a huge influx of cases, the likely survival rate in developed countries would be much higher than in poorer countries.
What a shame that it is only when the more developed countries fear they may be at risk that this becomes an issue. If the poorer countries had access to clean water, proper sanitation and better medical facilities, there would be less incidence of these terrible diseases and a higher survival rate. Maybe the focus should be more on that.