Sounds like you might be illegal.
Oh my god get a clue! SB 1070 does not address the border problems because it can't! The problem at the border is entirely the responsibility and jurisdiction of the federal government! SB 1070 scope is to combat the problem of illegal aliens already within the State of Arizona that are placing an unfair burden upon the State and its residents.
The law simply put requires police to positively identify someone who they stop or contact while in the performance of their lawful duties. Having the proper documents, IE passport, green card, or state issued driver's license etc. on your person prevents being detain longer than necessary.
Someone with a foreign sounding accent who does not have the proper documentation on their person is a fool.