English Defence League (EDL) leader Stephen Lennon, 30, pleaded guilty to possession of a false identity document with improper intention, contrary to the Identity Documents Act 2010, at Southwark Crown Court.
Lennon used a passport in the name of Andrew McMaster to board a Virgin Atlantic Flight from Heathrow to New York, but was caught out after his fingerprints were taken by customs officials.
He left the airport and entered the US illegally but left the country the following day, using his own passport to return to the UK.
More top news
The letter was signed by the CBI, British Chambers of Commerce, the EEF, the Institute of Directors and the Federation of Small Businesses.
A spokesperson said Rory Stewart's remarks were in line with the British government’s stated position.
The minister's intervention will come a week after Trump decertified the landmark agreement claiming it was not in the US national interest.