Because you have isolated the camera network physically, there is no need to use a VLAN for this and therefore you don't need a managed switch at the gate location. (This is assuming the wireless AP at the gate is only going to be used for a wireless camera and not other non-camera related data).
I see you have the second NIC in the BI machine acting as the "bridge" between the two networks. This is exactly how you would expect to handle it. Just make sure both networks (camera and everything else) are on two different network address subnets. (Perhaps cameras on 192.168.0.X/24 and everything else on 192.168.1.x/24).