How to convert a charcoal turkey smoker to natural gas with an external heat element?

I have a charcal Brinkman turkey smoker and a 63-6300 heavey duty utility stove bulit by Hurricane Products. The Brinkman fit perfectly on to the Hurrican with the Brinkman bottom on or off. When the Brinkman bottom is off the next part is the part the holds the charcoal. with the Hurricane heat outside everything. Question is will that work by just heat the part where the charcoal would be place and burning or do I need to enclose the heat unit also. I don't want to detach the heat unit and install it in the bottom part of the Brinkman because I use it for many things.