As stated, the JST connector is the charge wire connection, not what is actually supplying power to the system. The XT60 connector, which should provide power to the system, from what I have heard, is a hobby king specific connector, so if you do choose to purchase this battery, you might want to see if they sell matching connectors to go with it. I ended up cutting off the connector it came with and went with properly rated Molex connectors you can pick up from Radio Shack.
Zooming out for a second... you mention some connectors like to light themselves on fire when used with Lipos. Yes, this is true, if you push too much energy through something that is typically the result. So unless you have a basic understanding of electricity, you really shouldn't be messing with this stuff. I recommend this wonderful website: http://hyperphysics....ase/hframe.html but really if you google around for basic circuits and electrical laws you can find all this out for yourself, perhaps I take this for granted with an engineering background. If all else fails, look for connectors that are rated for the current draw at the voltages your motor is pulling (basically, calculate the power your system is pulling and see if the connectors are capable of supporting AT LEAST that number of watts). This means you'll have to invest in a multimeter. They're like 5-6 bucks at harbor freight.
However, the argument of weight reduction is more or less invalid with your battery selection. One AA is roughly 23g. 10 batteries * 23g is 230g. The LiPo you've selected is 346g according to the datasheet. So the weight of the replacement LiPo is 50% heavier than your current power supply, peripheries excluded. It's only a 1/4 pound difference, but hey weight is weight.
TL;DR Get a multimeter, do math.
Edited by Aeromech, 19 October 2016 - 02:31 PM.