A little more information for other people facing a similar problem. I was able to get my output noise measurement down to 162 nV/rtHz ( I had some extra resistance at the input that wasnt exactly matching the circuit above).
I also noticed the datasheet for the AD8229 which looks to be the same as the AD8429 but with a higher temperature tolerance.
Well the datasheet for the AD8229 is at Rev B and and datasheet for the AD8429 is at rev 0. The AD8229 lists the nominal input noise at 1.0 nV and 1.1 nV for maximum.
With my measurement, the calculated input noise is right at 1.16 nV/rt Hz which im calling close enough.
So the datasheet for the AD8429 needs to be updated and is probably a little bit wrong about the input noise, unless someone can tell me otherwise why the AD8229 input noise would be different than the AD8429.