In a similar vein, its a rare house that doesn't have a dead PC or two lying around.
The Power Supply Units of PCs produce (at least) 12VDC and 5VDC from the mains supply, and can supply a fair current at 12V. I'm not sure of the ratings, but its certainly enough to run a hot wire cutter or act as a bench power supply. PSUs seem to be rated about 400W , so if we lose 25% in conversion there should be 300 watts or so available at the lower voltages. 300W at 12V is 25Amps (but it will not be possible to have it all as 12V, probably)
Even though the PSUs come in a complete metal box, with the Mains components well insulated
please be aware that there is mains voltage on the input side, and keep youself safe. Leave the PSU in the computer case if you wish to be completely safe.
The power supplied to the computer is at low voltages and appears on cable leads with plugs fitted. use a voltmeter to find out what voltages are present - or even better check this reference which gives the colours, powers and plug types fitted
http://en.wikipedia.org/wiki/Computer_power_supplyIf you were to make a hot-wire cutter, you might consider using your brushed motor ESC as the power controller, and drive it with a servo tester so that you can dial up the power and temperature of the wire by twiddling the knob.
andrew