I've got a 3000W pure sin wave inverter in my van. In fact I've had it in the past 3! Its connected directly to the main battery. I bought a set of 400A jump leads from euro carparts that cost roughly £10 to feed the inverter. A good inverter has a low voltage cut off so it wont drain the main battery it will just switch off when main battery drops below around 11.5V. I use it for charging tool batteries, work lights etc most days without running the engine ever! If I'm using a heavy load for prolonged periods , like coring drill or tyre warmers (if I'm lucky enough to get on a track day) I'll run the engine. I've never had an issue or a flat battery in over 10 years of running my work vans this way.
HTH
Ian