Did the Gemans actually incite Mexico to declare war on America during WW2?

Answer 1

Not in World War II, but it did in World War I. In fact, Mexico and the USA were allies during World War II:
"Air Art Northwest owner Sig Unander recently participated in a week of special events in Mexico City honoring the legendary "Aztec Eagle" pilots of Fighter Squadron 201 who achieved fame in the liberation of the Phillipines in World War II. The squadron was the only Mexican military unit ever to serve in combat with United States forces; its participation led to better relations between the two countries and its surviving veterans are national heroes in Mexico."

but in World War I

"Within a month of Huerta's departure from Mexico, the First World War broke out in Europe, fundamentally changing German aims in Mexico. Cut off from the rest of the world by the British naval blockade, Berlin could no longer directly promote German economic expansion outside Europe, and it instead sought ways to disrupt supplies reaching its enemies, especially Britain.
Mexico played a key part in German strategy, for one of the Allies' principal suppliers was the United States, even though it was still officially neutral. From Mexico the Germans could launch sabotage operations against American ports and create provocations in hopes of inciting a new Mexican-American war. In the latter event, Berlin hoped a war would tie down large numbers of American troops who might otherwise join the Allies in France, and that the fighting would destroy the Mexican oil fields, depriving the British navy of fuel. In doing so, however, Germany would have to approach all sides of the revolution, from the exiled Huerta and Felix Diaz to Carranza and Villa.23

After Huerta fled to Jamaica, the Mexican political climate turned extremely fluid as the various revolutionary leaders vied for power. As Carranza gradually assumed at least nominal control of the country, Germany found itself in the unhappy position of trying to swallow its distaste for him. For the German charge d'affaires, Carranza and his followers were "a horde of Huns calling themselves Constitutionalists." Heinrich von Eckardt, the new ambassador to Mexico, had similar opinions: "Carranza's governmental bodies are prototypes of vulgarity and depravity, which wheel, deal, extort, and steal, just like the military commanders in the cities and the countryside." However, because Carranza's forces controlled Chiapas, site of the majority of German coffee plantations, Berlin felt it had to be restrained in its dealings with him. Germany went as far as granting de facto recognition to the Carranza government on November 10, 1915, but relations remained cool until the American intervention of 1916.24

During his first months in power, Carranza displayed openly anti-German attitudes and lent his sympathies to the Allied cause -- a position that only strengthened when he learned of German plans to help Huerta return to depose him. However, after his victory at the Battle of Agua Prieta, Carranza realized the only force now capable of overthrowing him was not Huerta or Germany but rather the United States. Like Diaz, Madero and Huerta before him, Carranza now felt the need for a counterweight to American influence, but the world war had limited his options. Since France and Britain were dependent upon American supplies, they could not be expected to take an anti-American position in Mexico. As for Japan, the only member of the Allies not economically dependent upon the United States, Carranza found it willing to sell him arms, but not to give him the political support that he wanted most. The only other major power Carranza could turn to, therefore, was Germany.25

Carranza's first attempt to improve his relations with Berlin came in early 1916 when he agreed to assist the German coffee plantation owners in Chiapas in their efforts to find laborers for their crops. He also took steps to suppress anti-German publications, but Ambassador Eckardt remained unimpressed, crediting Carranza's successes to his "pedantic mediocrity."26

More useful to German aims was Francisco Villa, whose cross-border raid on Columbus, New Mexico, on March 10, 1916, provoked President Wilson into sending a punitive expedition into Mexico on March 15. U.S. officials were convinced German agents goaded Villa into making the raid, a view that is still echoed by historians of the period.27 Certainly the raid played into Germany's objective of fomenting a Mexican-American war that would preoccupy the United States and weaken its ability to supply the Allies. "...so long as the Mexican question remains in this state," the German ambassador to the United States had earlier reported to Berlin, "we are, I think, fairly safe from aggressive moves on the part of the American government." U.S. Secretary of State Robert Lansing was aware of German aims in this regard, warning President Wilson that "Germany desires to keep up the turmoil in Mexico until the United States is forced to intervene; therefore we must not intervene."

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I believe the 2nd answerer is mixing up WW II with WW I:
The First World War
"Zimmerman telegram promises Mexico Texas if joins the war. This and US ships
sunk by U-boats prompts USA to enter war."

Dear The Eye That Sees All: Since Pancho Villa died way before WWII

'Doroteo Arango Arámbula (June 5, 1878 – July 23, 1923), better known as Francisco or "Pancho" Villa, was a Mexican Revolutionary general. "

It's hard to see how he could have had any involvement with the Germans in WWII.

Answer 2

yes the germans asked mexico to declare war on the united states and promised mexico after the war if the axis was victorious, that all the land lost by mexico to the united states would be returned to mexico

Answer 3

YES. They wanted us as allies. Hitler offered an alliance to Pancho Villa.