I'm using both Ultimate Facebook and Marketpress. I've got the "Like" feature working on blog posts and pages, but not Marketpress products.
I thought of using the shortcode for the products, but of course, I'd need to use it for blog posts as well in that case. So, side question: why does the shortcode have to be disabled unless you opt for it specifically in the display settings? Would have been handy to have it enabled in this case.