Houses generally use 100-200 amp input @ 120 volts.
This 100-200amp load is not how much you can use, it is just the maximum the house as a whole can use.
Circuit breakers limit each individual line to 10-20 amps (more for major appliances), depending on what room the power is going to.
Anything under 6 ohms would pop a 20 amp circuit breaker. But you'd run into other problems first.
What about the wiring to plug in this thing?
Most power cords can't handle currents over 10 amps. You'd need to use a low gauge wire else risk a fire.
There is also the rating of the outlet itself and the building wiring to take into consideration. Outlets and wiring is based on the expected load on that line. ie, outlets and the wiring for a kitchen will be able to handle a heavier load then the outlets and wiring for the living room, since the kitchen will have appliances to run such as your fridge, microwave, etc.
Maybe your kitchen has a 20 amp breaker. This *does not* mean you can draw 20 amps from one outlet, that 20amp load is designed to be distributed between all the outlets in the kitchen, so each outlet might only be rated for 10 amps (or less). Overloading the outlet could result in a fire.
A way around it? Well, I guess you could replace the outlet and circuit breaker with a higher amperage breaker.
But then you'd risk a fire in the walls of your house due to over heating the 12 gauge wire that is standard in houses.
Of course, trying to shove 2400 watts through a 6ohm kanthal coil might not even work in the first place.
Only way to really get way with a mod that plugs in would be to just use a commercial fog machine. But these might be DC as well, due to an internal transformer.