Although they are dangerous to humans, it should be remembered that not every spider found in a bunch of bananas will be a representative of cottonmouths. The chance of them being carried to another continent is very small.
A study of spiders found in shipments to North America showed that only seven of 135 reported cases actually turned out to be representatives of the Brazilian wandering spiders. Of these, six spiders were representatives of the Phoneutria boliviensis species and one Phoneutria nigriventer.