The isolator can be further tested with a multimeter set on continuity; it should beep from the inner terminal out to each outer terminal. Should not beep across the two outer terminals and should not beep between the outer terminals and the inner terminals with the leads reversed from step one. The Isolator is a simple one way “valve” for electricity.
First, measure the voltage at all three terminals of the isolator with the engine completely off. You should be able to read each battery voltage independently on each of the outside terminals. If there is voltage on the center terminal, one of the diodes in the isolator is faulty and the complete isolator must be replaced. (Some VOMs do have a diode test circuit to double check the diodes in the isolator). If voltage is only read on one of the two outside terminals, there is an open in one battery system.
Next, start the engine and check the voltage at the center terminal of the isolator; it should be at least 13.8 volts and there should be an increase in the voltage measured at the two outside terminals, though it will be less than the center terminal. If you have access to a clamp-around DC ammeter, you will be able to measure the charging current on the alternator output wire.
Additionally, be sure to check all the cable connections at each battery & in the circuit very carefully. I just ran across the same symptom as yours and found a corroded ground cable from the engine battery to the frame ground. If you are sure the alternator is functioning as it should and the isolator tests good, you just may have a cable problem.
After checking the Isolator, I recommend getting out the wiring schematic and following each wire one by one to ensure that it is where it should go. Also check the continuity of the alternator Voltage Sense lead and make sure that it gets from the alternator to the positive terminal of starting batteries.
Whether directly to the starting battery, the start battery terminal of the isolator or the start battery side of the Boost Solenoid, it doesn't matter which. Then check that the alternator has not lost its ground due to corrosion. Also remove the nut from the alternator excite terminal on the alternator, clean the connection thoroughly, tighten the nut that connects the stud to the alternator case and use an internal star tooth washer and a NYLOCK stainless steel nut to re-secure the Voltage Sense wire to prevent loosening and use Dielectric grease to prevent corrosion. In fact it's a good idea to clean each alternator terminal and use a star washer on each.
If you need to replace the Isolator there is no particular order to removing or replacing the isolator. I would disconnect the negative on both the starting bank and the coach bank prior to any work, and make sure you are not on shore power, just to prevent arcs and sparks. The coach batteries are powerful enough to weld a wrench to the frame if the positive gets shorted to ground, that can be very dangerous.
After getting the isolator replaced, then reconnect the negative battery terminals. You only need to disconnect the one negative terminal at the battery that goes to the frame on each bank. Not all the wires.
You can use a three post isolator. It doesn't matter how many batteries you have, Just hook your alternator to the center post, the starting batteries to an outer post and the coach batteries to the other outer post. This is ALL you need. If the alternator needs remote volt sense then connect to start battery positive terminal . The boost solenoids “join” the battery banks external to the isolator. Just trace the wires one a time and you will be fine. All you need is a three post isolator that exceeds the capacity of your alternator.
IE: 160 amp alternator - 200 amp isolator.
A 200 AMP isolator is fine, if you have a 180 amp alternator, only alternator current goes through the isolator, You will NEVER put 180 amps into the batteries, for one most batteries cannot handle 180 amp charge, and your alternator really only produces about 1/2 the rated output.