You should check out the judge's actual written ruling in this case. It can be found at:
http://www.foxnews.com/projects/pdf/072810_ArizonaRuling.pdf
The judge points out that SB1070 is not a freestanding law itself, but is simply a group of amendments to existing Arizona state law.
First the judge says that there are parts of SB1070 that she does NOT block. And she lists them:
Then she says that there are parts of SB1070 that Obama is likely to succeed in challenging, and so she's blocking them until this is resolved. And she names those, too:
One fellow told me that, while the judge has blocked SB1070's **REQUIREMENT** that Arizona state officers must ask for someone's immigrations status under certain constitutions... she has not FORBIDDEN the cops to ask for it. I don't know if that's true.
Does SB1070 give PERMISSION to Arizona state and local cops, to ask for IDs of people they encounter, separately from the section where it REQUIRES them to ask?
If so, then the judge's blocking the REQUIREMENT, doesn't block the AUTHORIZATION. And cops can still ask for immigration status of someone they run into who was speeding, shoplifting etc. if they want to. And turn them over to ICE.