when i test the control stat, I have 0.000 on the end to end terminals and 1.0 on the top to bottom which according to the diagram is the heater contact you discribed. When I hear it click, I test both sets and they both read 1.00. When the stat click back or opens the I get the original readings. Should they both be open??
No only the contacts should open but your reading seems to indicate that the contacts are not opening.
Note: I did find a couple GE wiring diagrams that used an internal heater and both of them showed the heater as 9 kilohm.
Your readings show that something is haywire with this thermostat.