No, they are different species. Mexican milkweed is the "whorled" milkweed,
asclepias fascicularia. I don't have any of that yet, it's a western plant. But I'm not sure about what you've got there because I don't think Mexican is red and yellow, it's the usual mauve-ish color for milkweed flowers, here's a picture:
Mexican whorled milkweed
The most common types of asclepias around here in the northeast are:
syriaca - tall, heavy mauve-colored flowers with a heady scent, very broad leaves, that's the "common" milkweed - perennial
incarnata - bushy perennial, with mauve flowers with not much scent, called "swamp" milkweed. One strain will put forth more branches and blooms if you snip off the deadheads; one strain blooms only once whether you trim it or not.
curassavica - shorter, gets about 3 feet tall, with clusters of red-and-yellow bicolor flowers and much more tender leaves than the others, also called "bloodflower" or "tropical" - not perennial this far north, you have to restart it from collected seeds each year.
tuberosa - also shorter, but perennial here; these are the ones with the orange flowers and the rather fuzzy leaves, also called the "butterfly milkweed". I have also seen a strain of this being sold that's supposed to be all-yellow, called Asclepias tuberosa 'Hello Yellow'.
The USDA Natural Resource Conservation Service has a nice layout of pictures in their plant gallery, you can see just the milkweeds here:
USDA NRCS Asclepias