united-states
Lack of clarity about the right way to quantify this makes the question rather vague.
I am also limiting my answer to the United States because that is the part of the question that I am able to answer meaningfully.
Congressional Action
The most obvious way to quantify that is by the Congressional vote authorizing the Gulf War.
But lack of clarity about the right way to quantify this makes the question rather vague.Grass Roots Action
The BP refinery in Marcus Hook, Pennsylvania was picketed, as was the
Chevron Oil HQ in San Francisco (28/8/90)....
Financial interests were also targeted. In October 1990, 350 took part
in a demonstration in San Francisco's financial district. Called to
protest against the "destruction of the planet and its people by the
corporate and financial cartels" it focused on corporate links with
the Gulf War. The world headquarters of Chevron Oil were blockaded,
and a US and Chevron flag burned. Traffic was blocked in Market Street
(San Francisco's main street). . . .
in the Coalition forces there was no mass resistance of this kind, but
there was significant opposition to the war. By the end of November
over 50 US service people or reservists had declared their refusal to
go. In New York, the War Resisters League had received more than 400
phone calls from soldiers, including 12 members of one company of 150
Marine reservists. Paul Dotson, a US Marine Corps reservist stated: "I
emphatically refuse to kill for oil in the Persian Gulf".
The US army issued new regulations preventing soldiers from filing for
conscientious objector status until they were in Saudi Arabia. Some
soldiers tried other ways of avoiding the front: there were reports of
300 cases of self-mutilation among US troops in Germany who didn't
want to go to the Gulf.
US Marine Jeff Patterson sat down on the runway in Hawaii and refused
to board the plane due to take him to the Gulf saying that he refused
to fight for "American profits and cheap oil".
According to the Los Angeles Times in a story published on October 21, 1990 (before the AUMF vote) there were a series of protests then with the largest involving 4,000 people who gathered in New York City, another notable one in D.C. attracting 200 demonstrators across from the White House (matched by pro-war counterprotestors whom the police kept separate from them) and 200 people at a rally in Boston. The L.A. times also reported that:
Protest rallies also were held in San Francisco, San Diego and Los
Angeles, as well as in Atlanta, Boston, Chicago, Honolulu,
Albuquerque, Birmingham, Houston, Minneapolis, Portland, Seattle and
Olympia, Wash.
The Los Angeles rally drew at least 400 people to Leimert Park, where
they sang peace songs and listened to fiery speeches.
According to the story a speaker to the 200 people at a rally in Cleveland that day summed up his message as follows:
“There is no reason for this country to be involved in that war,” said
Jerry Gordon of the Committee Against the U.S. War in the Persian
Gulf.
“It’s for big oil and profits and control of the oil interests in
Kuwait and to restore the emir, a dictator, to his throne in Kuwait,”
Gordon said. “We say let the people of that region determine their own
destiny.”