Processor:
Your CPU:
http://www.cpubenchmark.net/cpu.php?cpu=Intel+Core+i7+M+620+@+2.67GHz&id=849
CPU in the 2013 MBA:
http://www.cpubenchmark.net/cpu.php?cpu=Intel+Core+i7-4650U+@+1.70GHz&id=1955
These are synthetic benchmarks however. Benchmarking method favours processors that can turboboost to higher frequencies as it does not take into account periods of longer usage where there is throttling of the processor. Hence there is still a possibility that your old MBP provides more consistent performance over a longer period.
However, should there be a short task, the MBA would be faster than your MBP.
GPU:
People will tell you that your 330m in your laptop is weaker than a HD 4000 (and hence HD 5000), I would advise you to take such suggestions with a pinch of salt. Your 330m would subjectively give a smoother performance (lesser throttling) as compared to a HD 4k. It'll still be weaker than a HD 5k though. Driver optimizations would also come into play.
Your MBP has 85W of power to play around with, it is likely not to power-throttle unlike even the most current macbook airs.
SSD:
The PCIE SSDs on the new MBA have proven to be very fast.
http://www.anandtech.com/show/7085/the-2013-macbook-air-review-13inch/8
The max speed on a Sata III interface cannot even reach the sequential write speed on the MBA's SSDs.
Display:
The MBP display is superior in every aspect aside from pixel density.