How do you find the CPU consumption for a piece of Python?
You could try configuring your test to ramp up slowly, slow enough so that you can see the CPU gradually increase and then run the profiler before you hit high CPU. There's no point trying to profile code when the CPU is maxed out because at this point everything will be slow. In fact, you really only need a relatively light load to get useful data from a profiler.
Also, by gradually increasing the load you will be better able to see if there is a gradual increase in CPU (suggesting a CPU bottleneck) or if there is a sudden jump in CPU (suggesting perhaps another type of problem, one that would not necessarily be addressed by more CPU).
Try using something like a Cosntant Throughput Timer to pace the requests, this will prevent JMeter getting carried away and over-loading the system.