Yes a visa to Mexico is easier
From first hand experience a Visa to Mexico is easier because it is possible, while getting a US visitor's visa is tantamount to winning the lottery. We did have to make three trips to the Mexican embassy in Santo Domingo to get the visa. I don't think a letter of invitation will be of importance, I suggest contacting the Mexican embassy for more information on the information needed and fee scale.
I recall a fairly long line forming in the morning for those interested in such visas, but the procedure was much better than the one in the US Embassy, except for the need for three trips to Santo Domingo. I think it can normally be done in two visits.
Proof of financial ability to pay for the trip is needed. They will likely ask where you are going in Mexico. I got the impression that the further from the US boarder you plan to go, the better it will be for getting the visa. In our case we went to Cancun and the so called Mexican Riviera which we both did not like.
Good luck and if you get to go, let us know where it was and how you liked it. Might this story eventually make it to the Sanky forum?
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