That's an Anderson plug, and it is for recharging the battery. It's a mod a PO has installed, and is useful. Do a search on Anderson plug in this forum.
The bundle of wires is there from the bike's career in the Police Force. There's no need or benefit in removing them. Some of them can be useful if you decide to do some modifications later, as they connect back to the RH switchblock. Just bury them in the bodywork and forget them for now.
The white 2 pin plug in the first photo is a molex type plug.
http://www.jaycar.com.au/Interconnect/Plugs%2C-Sockets-%26-Adaptors/Automotive/2-Pin-Miniature-Nylon-MOLEX-Type-Connector/p/PP2021CTek battery charges used to come with them, but the pins tend to flog out a bit and the wire connections fail after a while. The newer CTek chargers have better connectors, and they usually come with connections as suggested by ST2up. The newer connections (and the older type) were probably only good for up to 10amps, and anything above that should either use alligator clips or a direct wire connection direct to the battery.
http://www.ctek.com/au/en/accessories/Biggles, I think that there must be some confusion about Anderson Plugs, as they are a totally different design to these molex type plugs. See below.
http://www.jaycar.com.au/Interconnect/Plugs%2C-Sockets-%26-Adaptors/DC-Power/50A-High-Current-Connector/p/PT4420I think that they are the best way of connecting hi-current type devices up, but they are pretty expensive when you need multiples of them on all different battery reliant vehicles. 50A is the smallest, and most 4WD's and caravaners who use them often use even larger ones, as they allow enough current to even power absorption type fridges. They are probably a bit too big to use on bikes, and they are certainly overkill in terms of current, unless you're using a 25amp charger or similar, but when the connection is soldered properly, I reckon they are the most reliable type of connection. Maybe with the bigger CTek chargers that only come with alligator clips or bolt directly to the battery, they would be required, but for bike use, most likely the chargers would be much smaller and only require the light orange CTek type connector.
When you look even further at power type plugs, there are SAE molded types, "powerlet" types, and depending on who you're talking to, Narva or something else of which the name excapes me - merit plugs! Some 4WD type fridges come with them, and they are similar to a 12v car type socket, but have a centre pin that locks into a spring loaded socket....
these....
http://www.narva.com.au/products/browse/merit-type-plugs-socketsIf you're only going to connect a battery charger or tender, then just go with whatever the charger comes with! Anything else, then those are some of the options...Sorry, off on a tangent again....
Sorry, I'm not trying to be smart or anything, but thought I could correct any confusion that might exist.