Have your customer access the old site using their cellphone.
If that doesn't convince them take them out for coffee at your local busy coffeeshop and show them all the prople who are working with smart phones and are not bringing in their towers and monitors.
My three favorite website that use Squarespace are:
Thomas HeatonBrendan van SonGreg SnellSimple clean and you don't have to scroll for five minutes to finish the page.
I just had a thought that might help the first page. What if you grouped the images into a slide show (or two) that way the foot print is only the side of one image?
Is it possible to LOCK the "Home-Contact-FAQ-Review" so it doesn't disappear while scrolling? Ctrl+Home is too hard for most people to remember.