Is a Product Topology Containing at Least ONE Hausdorff Space as a Factor Hausdorff? The short argument outlined in the following link demonstrates that a general cartesian product of Hausdorff spaces is itself Hausdorff.
http://planetmath.org/ProductTopologyPreservesTheHausdorffProperty.html
But this argument doesn't seem to depend on all of the factors of the product topology being Hausdorff (instead only one).  Am I missing something, or is it enough for a single factor in a product topology to be Hausdorff to guarantee that the entire product topology becomes Hausdorff?

Read the proof again. The factor we require to be Hausdorff is one in which $x$ and $y$ are different. This could be any factor, so we need every factor to be Hausdorff for the proof to work. And indeed the result is false otherwise: consider for example the product of a Hausdorff space with a two-point trivial space.
