Your doctor is a gatekeeper to 911, so you have an additional gatekeeper. I think you will find that anyone in the general public experiencing an emergency is going to call 911, not your service.

Your service might be useful in non-emergencies. It's basically like a family doctor visit on Skype. There are a number of companies offering this, but it's not clear how this helps with outcomes. (For example, http://nyti.ms/1fyWXeK)

For healthcare facilities, like nursing homes, you are basically providing a doctor on call via telemedicine. That is already heavily used. Many hospitals employ radiologists, neurologists, etc who can view diagnostic images and data remotely and provide consultation to the medical staff on site.

What I think is dishonest (and could cost lives) is advertising your service to the general public as an alternative to 911, and especially claiming that it is faster than 911.