OK....so after the steam clean fiasco...and the initial "click" on start problem....I followed some advice and went through all the wiring I at least understand and made sure everything was grounded properly. The alternator situation was fixed as well through that.

What has started to happen again is the darn "click" upon ignition:

1) Battery is fine, alt is fine, starter is fine. Grounds (as far as I can test) are fine.

2) The following will happen regardless of whether I have done several short stops and re-starts,...whether I drive her for 40 minutes then shut done once,...and re-start 10 minutes later...etc. it is COMPLETELY intermittent without any logical variable to pin-point. It has maybe done this 3 times over 4 days of driving....NOT every time at all.

UPON START: I get a "click"..no starter motor engagement at all...idot lights come on dash as they should and voltmeter momentarily pegs zero.
Upon SECOND TRY (so far) the car fires right up..no problem. Then I can shut her down and start her 3 times in a row without and further "click"......like I said no consistency at all.

THE CLICK seems to come from inside the dash or engine compartment (I know...pretty vague). But it is definately NOT a mechanical sounding click.

3) WHAT components are involved and what path of current is used when a "start" is engaged. My newbie knowedge tells me we have the switch in the column, the ignition coil and the starter motor.....?....But in what order,...and WHERE to start looking for a problem. Especially with something sooooo intermittent.

THE ONLY variable that is applicable here is that this NEVER happened at all prior to that darn steam (pressure :-( cleaning.
But I have checked everything I know of for corrosion,....but it is what I do not know to check that is concerning me..........

Any help would be greatly appreciated....
Thanks again guys!.......

btw - No Streetz...I am not ready to scrap the car and get a pail that runs.