The problem I'm seeing is that the surround div of the image to the left protrudes over the contact form. To illustrate this I can click the top half of the phone number and it doesn't work but the cusor will appear if I use the lower half.
The reason this is happening is the following outer div
OK. I think there were a few words there that I recognised...
I am still very much following the bouncing ball with this template trying to figure it out as I go. A great deal of it is nothing like anything I've ever done with a Joomla site before (and I've done a few).
Almost everything seems to be done in custom html modules rather than articles, and there are more plugins than you can shake a stick at.
I think much of the animation is done with a system called Roksprocket, but I don't really have a handle on that yet.
As you've identified the problem for me (which had nothing to do with your contact module!), I've changed the layout to move the form away from the animation. Maybe after some time playing with the system I may gain the confidence to try to bend it completely to my will, but for now I'll be happy with "it works".