Even if it were easy as a pie, OP is worried about being convicted of a 'crime' which is not considered a crime in most of the developed world. So, he has a chance of being granted asylum.
Faking a passport, however, IS a very serious crime and it would be something ridiculously stupid to do.
Assuming you have the original, non-biometric passport, access to materials and suitable printers, plotters etc and a handful of other passports of the appropriate nationality people don't mind being "recycled", quite a while.
People who enter a country illegally and then claim asylum status are unlikely to be in any position to keep their business running.