HELP! Is It My Ignition Switch?.............

I am having a weird problem with my 1996 Mustang GT.

Over the past year, I have installed a new battery, alternator, and
starter (two of them), cleaned and lubricated the ignition lock
cylinder, AND checked all of the related wiring in an attempt to solve
the problem, but no success so far.

The problem is this: Every once in a while, when I turn the key to
start the car, all I will get is a click. The car will not turn
over. HOWEVER, if I keep turning the key, eventually the car does
start again, as if nothing at all was wrong.

There is NO pattern to when this occurs. The car can go for weeks
with NO problem at all, and then I might experience the problem twice
in one day, only to have the car return to normal the next day.

It doesn't matter if the car is hot or cold. The problem has happened
when the car is first started up in the morning, AND it has also
happened in the middle of the day, when the car has been driven around
and the engine is nice and hot.

It has happened in wet weather and in dry weather.

Could it be my ignition switch? I know that it obviously sounds like
it might be the switch, but I am simply wondering if this has been a
somewhat common problem with other Mustangs or Fords.

I am also hesitant to spend the money on a new switch if someone has a
viable alternative. After all, I have already replaced other major
links in the chain and gotten nowhere.

So, even though it might obviously be the ignition switch, I wanted to
make this post just to get other opinions.

Thanks in advance for any help you folks could offer.....