Um, no.

The Australian Labor party would be on the center-left wing of the US Democratic party. Even the strong right wing faction of the Australian Labor party is well to the left of the "Blue Dog" Democrats (http://en.wikipedia.org/wiki/Blue_Dog_Coalition). For example, one member of the right wing faction of the Labor party is the federal health minister (Nicola Roxon - see http://en.wikipedia.org/wiki/Labor_Right#In_Victoria), and her biggest policy is a take over of state-run health systems by the federal government. No blue dogger would support that, and I doubt it would get majority support within the US Democratic party.

Both Kevin Rudd and Wayne Swan are right faction members (http://en.wikipedia.org/wiki/Labor_Right#In_Queensland), and they came up with the mining tax! That isn't exactly a centralist policy (by US standards anyway)!

The Greens are well to the left of Australian Labor on both social and economic issues. I suspect they are close to the UK Liberal Democrats on social issues, but to the left of them on economic issues.