Is this a high output 150amp alternator or the stock alternator?
Most stock OEM alternators are designed to put out big amperage for a few minutes right after start up then drop back to a much lower output.
Also, were is the inverter? You mention in the "cabin" but does that mean in the vehicle or in the trailer cabin?
Be prepared with a jump pack if you try this (or at a site with shorepower) as you could find your starter battery dead as the inverter drags it down.
Once you get past the inverter of appropriate size, no issues charging...at that point it's no different than being plugged into shore power.
