The court heard how on June 30 police impounded a Renault Laguna after it was stopped on the M1 motorway heading south.
A routine search two days later at the pound allegedly unearthed sawn off shotguns, the makings of a pipebomb containing ball bearings and nails and a cache of swords, knives and machetes.
There was also a note that allegedly described the EDL as the “enemies of Allah”.
The three men were arrested the day after the discovery in the car.
They remanded in custody to appear at the Old Bailey on July 31.
Four other men were also arrested last week and remain in custody.
Officers have until Wednesday to charge, release or apply for a warrant of further detention for three of them.
The fourth man can be held until Thursday.