Well, the fuse ought to allow the biggest power load you actually expect to use, and the wires should be sized to carry that many amps.
2,000 watts = 12 volts x 167 amps. Even more when you consider the efficiency of the inverter.
In our builds we have 2,000 watt inverters but we don't ever really expect to pull all 2,000 watts from the batteries.
We have over-sized the inverter/charger to reduce stress and increase life.
We will use a 100 amp ANL fuse on the tow vehicle, placed 3 inches downstream of the tow vehicle battery on the positive leg.
That will allow 1,000 watts to run the air conditioner from the tow vehicle but still protect the long power wires, the car battery, and the car alternator.
For the trailer battery we'll use a 150 amp DC circuit breaker like this one.
The boat guys have them at the marine supply websites.
http://www.bestboatwire.com/circuit-bre ... nt-150-amp 
That will protect the trailer battery and that short run of wire.
I prefer a breaker there because I expect me or the wife will forget we are boondocking and turn on too much 120VAC load, like the microwave and coffee maker together. I would rather reset a breaker than change a fuse. But I don't want to limit the 120VAC circuits so when we have shore power we can use everything.
For the tow vehicle power line the fuse is OK, it should really be a fault or failure (short) that puts 100 amps on that line.
Keep in mind that a fuse is really a temperature sensor - it melts when the current makes it too hot.
So if you camp in the desert or mount it in the hot engine compartment, you won't get full rated power through that fuse.