Not possible; read this for an understanding of what
Not possible; read this for an understanding of what Mexico could and did provide to the Allied correlation of forces in WW II:
http://history.army.mil/books/wwii/Framework/ch13.htm
Something to keep in mind regarding this question is that for the minor allied powers in the Americas, whatever forces they deployed outside of their national territories, much less the hemisphere, had to be volunteers and/or regulars, for internal political reasons.
Brazil's 1st Infantry Division and the fighter squadron that went to the MTO were - for the most part - regulars/volunteers, as was the Mexican 201st Fighter Squadron that served in the Western Pacific.
Mexico's regular army in 1942-45 numbered roughly 60,000 officers and men; absent those personnel needed for administration and training, home defenses and security assignments, perhaps a fifth - call it 12,000 men - could have been organized into a field force, and that is (roughly) what the Mexican order of battle for mobile operations (in the unlikely event of an Axis invasion) comprised; a "square" infantry brigade organized along US lines as of 1918 (headquarters, two infantry regiments, a field artillery regiment, and engineers) and that was about what the US was prepared to provide modern equipment for...and did so, under L-L.
The army and naval aviation units amounted to the equivalent of a squadron of single-engined observation/attack aircraft for each coast, plus the 201st, which was organized to a US TO&E for duty in the Western Pacific.
The Mexican Navy's operational forces amounted to four pre-war but relatively modern ocean-going escorts, plus a number of coastal and harbor patrol vessels; L-L provided a number of modern small craft.
Mexico's merchant marine, which was increased substantially in terms of ocean-going vessels by the seizure of Axis (mostly Italian) ships that had been interned in Mexican ports in 1940, was also added to the Allied shipping pool in 1942, but that - along with natural resources, some finished products, transportation routes and port access, and labor recruitment for US industries (primarily agriculture in the US Southwest) was about all Mexico could or did contribute.
Mexico certainly deserves credit for joining the Allies in 1942 (which they did after German submarines began sinking Mexican-flag merchant shipping in the Gulf and Caribbean), but expecting a major expeditionary force anywhere, especially NW Europe, is completely a-historical - and unlikely.
An infantry company plus replacements, in place of the 201st, is about the most that realistically could have provided for overseas service, and the question there is why infantry rather than aviation? Aviation at least develops a capacity the Mexican military did not have prior to 1943-44, in any real sense...
An infantry company does not, obviously.
Best,