Eisenhower, Republican, started the Vietnam war and spent a huge amount of money (for the time) on covert operations…it just takes a little research to shoot down most of the Republican myths on the internet.  I would use the word “lie” instead of “misstatement” but I do not think they know better so it is not an overt lie…

 November 1, 1955 — President Eisenhower deploys the Military Assistance Advisory Group to train the ARVN (South Vietnamese Army). This marks the official beginning of American involvement in the war as recognized by the Vietnam Veterans Memorial. 

http://en.wikipedia.org/wiki/Role_of_the_United_States_in_the_Vietnam_War

Here are more wars started by Republicans (I am not implying all were wrong)…

American Civil War: Abraham Lincoln, Republican; First fought to preserve the Union(the right to secede is still debated to this day) later to end slavery.

Korea(1876); Ulysses S. Grant, Republican; Called Choson at the time, the country attacked and destroyed an American Navy Vessel. The war was fought with similar motives as Perry’s visit with Japan.

Spanish-American War and Phillipine Insurrection: William McKinley, Republican; American Naval Ship Maine sent to monitor alleged mistreatment of the civilians of Cuba and protect American economic interests. The ship was destroyed and the press (the real instigators of the war)of the time placed the now doubtful blame on the Spanish. US fought the war to free Cuba. McKinley announced that giving the Filipinos Independence outright would be like simply handing them over the Germans or Japanese(because of the geographic position) and harm American economic Interests.

Nicaragua: Calvin Coolidge, Republican; Like Haiti the objective was stabilization.

Grenada: Ronald Reagan, Republican; When a Communist government took over the country, it persecuted the American college students studying there.

Panama, Persian Gulf War Operation Restoring Freedom: George HW Bush, Republican; Noriega, leader of Panama was charged with drug traffickingand through Noriega’s power, Panama would declare war(Though retaining the Canal is alleged to be the real motive). Persian Gulf War was fought to Liberate Kuwait from Iraq and protect Saudi Arabia from an Invasion(also to protect oil interests). Troops were sent to Somalia to assist in the feeding the hungry after guerrillas shot up UN aid convoys.

Afghanistan and Iraq: George W. Bush, Republican; Invasion of Afghanistan was the result of the Taliban ruled government’s refusal to hand over Osama bin Laden. Iraq’s invasion is still under debate.