I see your issue now, that HF kit wont work with the pro-fit, since the cig lighter adapter IS the mount for it. Misunderstood which kit you had. So anyway, you are stuck with that scenario so long as you have that kit.

The fuzzy hole is not structurally rigid enough to support the weight if you retrofit a cig lighter outlet into it.

My suggestion: upgrade HF kit and get the profit, that solution is MUCH better. More flecible for your needs.