Hi, Bob. Thanks for all your perceptive posts -- glad to be able to help.
If I were in your shoes, I'd be thinking about finding a small dental welder at a garage sale or on ebay. They're practically indestructible, already have the hardware built in, and will give you consistent welds. Also, you can get 'em cheap. They're just about perfect for welding T/Cs.
There's more than just applying voltage in making an adequate resistance weld. Voltage losses and pressure on the wires to be joined are just as critical. When you get a small dental welder, you buy a consistent solution to these problems.
However, if you're using a car battery and carbon rods now, you could probably do better with a home brew setup. Get a good sized 12VDC wall wart and a big automotive 12VDC coil relay (like the ones used to drive the starter solenoid) and do something like this (view in fixed font or M$ Notepad):
| Ersatz C-D Welder Control | ____ | + | | ___ + | o---o-o--|317 |--o-|___|-----. .----------o----. | | | |____| | 1K | | | | | | | .-. | | | | | | | | | o /o | | - C| | | |240 CRY1 / | | ^ C| | '-' / | | | C| | | o V |12VDC | | o-----o | Welding Tips | '-o | | +| X | | | | C --- | | o .-. | --- ^ | |=|> | |