Hi Mark,
Mobile Kit Pro "is a skin" that would be used for phone size devices, it is separate from your custom skin and would be used instead of that skin for phones. It should work fine for most sites and I don't see a reason it would not work on the site you posted. Whether you will like how it looks using one of the provided mobile skins I can't say for sure, but you can customize the Mobile Kit Pro skin just as you can customize a normal skin. It does use a different menu control that designed to make navigation of any site hierarchy easier on a phone and that is one of the main features of the product. The mobile skins also do some other things like use javascript to automatically reduce image sizes to fit the screen.
I recommend try it out with a phone using our demo site, or try this site out with a phone for that matter to see if you think you would like it.
Hope that helps,
Joe