A7II hands on by Cameralabs measures 3 stop advantage with 5 axis.

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First a quick note: The A7II kit is in Stock at [shoplink 32075 ebay]BestBuy eBay (Click here)[/shoplink] and via third party resellers at Amazon (Click here).

Of course the big feature of the new camera is the 5 axis system. CameraLabs (Click here) tested it and writes:

On the conditions of the day, I required a shutter speed of at least 1/25 to handhold the 55mm for a sharp result without stabilisation. With stabilisation enabled, I could achieve the same result at 0.3 seconds, which represents three stops of compensation.
The built-in stabilisation definitely helps, at least with the FE 55mm lens, but it won’t smooth out wobbles to anywhere near the same degree for video as the Olympus IBIS. I’ll add many more examples and comparisons in my final review.
One of the most compelling aspects of the A7 series was being able to adapt lenses from any system without a crop, and now to have them all stabilised (even if it’s by a small degree) will make the A7 II an extremely tempting proposition – even more so since the launch price is the same as the A7 before it, while the original model becomes discounted.

P.S.: Some image samples with the A7II have been posted on SonyAlphaForum.