"I'm lost..."
Electrical is probably the most confusing part of the SMB conversion. Reading through your posts in this thread, it sounds like your electrical system is like mine with a intelli-power 9100 converter (110v to 12v only) and no solar or generator. This makes things simpler but less capable (e.g. no built-in 12v to 110v capability).
When my SMB is plugged into shore power, the IP 9100 converts the 110v to 12v to charge the house battery(s) which is its only purpose. Also, all of the 110v outlets are live, including the one that the IP 9100 is plugged into. When I unplug from shore power, I loose my 110v outlets. When I drive down the road, the van alternator charges the van starting battery. SMB equips all conversions with a battery separator if a house battery is installed, usually a Sure Power 1315. A picture can be found here:
http://www.sportsmobileforum.com/viewto ... 099#p35099 Mine is located next to my other electrical under my gaucho.
The separator ties the two battery systems (van and house) together in a semi-smart fashion. When I am plugged into shore power, once the house battery is charged up to 13.2v or so, the separtor switch latches so the excess charging capability charges the van start battery. Similarly, when driving and the van start battery is 13.2v, the separator feeds power to charge the house battery. If I want to use 110v for small items (laptop or camera battery charger), I have a small 100 watt inverter (12v to 110v) that I plug into a house 12v outlet.
A small microwave would require a large inverter (1500W-2000W) which would need to be hardwired into the electrical system. If you also have a refrigerator, a house battery monitor would be a good idea so you know how much power is left in the house battery. If it falls below 50%, the battery will die quickly and need to be replaced. Xantrex LinkLite or LinkPro are well thought of
http://www.xantrex.com/power-products/p ... nitor.aspx
A "tiny" 5000 btu room air conditioner would require about 1500 watts while running, This would be about 13.6 amps for 110v or 125 amps for 12 volts (volts*amps=watts). This would kill my 100 amp-hour house battery in about a half hour. This large power consumtion is why AC requires shore power or a good-sized generator.
Hope this helps.