Amps times volts equals watts.
AV=W
You need to figure out what you want to run off of the inverter. Say you have a circular saw that is about 10 amps at 120 volts, then it draws 1200 watts. You will need a 1200 watt inverter. To produce 1200 watts with 12 volt power, you need 100 amps of 12 volt coming from the alternator. You will also lose about 20% of the DC power when it goes through the inverter. With that loss, you will need 125 amps of DC 12v to make 1200 watts of AC. There are slightly more efficient inverters, but the price of them would make you want a generator. Most tractor alternators do not put out this much. You can always up the alternator, I think that Kubota makes a larger capacity alternator. I have not done this on a tractor, but I have put bigger alternators on many vehicles. Lestek makes about the best heavy duty alternator out there. They make almost all of the big ones for ambulances, where there is a large load and need to work every time. You can also put on a second battery, and a second alternator. That is how a lot of the ambulances do it, and how I have my service truck. Just buy whatever Lestek alternator you need, and then build a bracket to attach it to your engine. Run a v belt to it, and run the wires to your second battery. Hook the inverter to the second battery, and you have a second electric system delivering 120v power. It will draw very little power from the engine, unless you have it under load, but I assume that you will not be driving while you are using the circular saw? I have my Toyota pickup set up this way, so that I can drive right to where I need, and have plenty of AC for tools, generating off of the engine. It is essentially the same way that some of the newer more efficient generators work. You can also get a belt drive generator head which will produce 120v. Northern has them.