That car does indeed belong to the former Mexican Federal Preventive Police (Highway Patrol division). It is a 1999 Ford Crown Victoria Police Interceptor. Ever since the late 90's (presumably because of the NAFTA agreement) Mexico's federal police has used certified police-package cars. Ford Crown Vics, then Impala 9C1's, then police-package Dodge Intrepids (as seen in the picture), and finally the Charger as used today. Before they used mostly Dodge products, made in the country.
The Dodge Intrepid is not an unusual choice for a police vehicle (at least not the police-package one) although it had many reliablity problems and wasn't exactly widely accepted.
Mexican Ford Grand Marquises are the ones sold to the general public. These PI's came badged exactly as they would be in the US and Canada.
As for the front, it's definitely a replacement. Many Federal Police detachments are isolated or in smaller towns, so I assume the local officers found a replacement from the common Marquis to replace this car's (presumably) damaged front end. Odd, but possible.
Ever since then, the country's Federal forces have been re-organized to better combat the drug cartels that have left certain sections of the country scarred and lawless. They are now known collectively as the
Policia Federal (Federal Police).
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New ones:
