It will be easy if you keep the following points in mind.
Your motorcycle should have all the ownership and registration documents made out under YOUR NAME
- and that name must be printed out exactly the same as it appears in your passport and drivers lecense and credit cards
When entering Mexico you have the option of saying that you are merely crossing the country( transit only) or if you are going for a meandering tourist romp .
I suggest that you say you are on a TOURIST visit , this will give you a 180 day tourist card , about $27US and lots of time to roam and sightsee.
If you tell them that you are just crossing through on your way to Argentina they will class you as TRANSITO and you will be given a very short duration tourist card, the fee for which may be forgiven , but it limits your travel and enjoyment to the shortest route to the south border..
You will have to pay a security deposit for the bike , the amount is a Maximum of $400US for the newest year range, and that will be charged to your credit at the same time you pay for the Temporary Vehicle Import Permit and Tourist Card,
The security deposit will be returned to your credit card account at the time when you cancel your TVIP when you leave Mexico.