Home connect looks like it's designed for voice only:
What are the device incompatibles?http://support.verizonwireless.com/support/faqs/Equipment/homephoneconnect.html
Home Phone Connect is not compatible with home security systems, fax machines, DVR services, credit card machines, or medical alert services (e.g. Life Alert). HSI/DSL may or may not be available; please contact your service provider to determine if this product is available as a standalone offering.
However, they do have some solutions, but they aren't cheap. I'll be posting a video of a presentation given by one of our club members last month about how he got remote access to his cabin using Verizon's LTE network. I'll post the link here when it's ready.