I was thinking the same as these guys, I believe you will need to have a fully enclosed box around the turbos. One that is sealed and not open to the passenger compartment. I think there is a requirement that there is no exhaust entry into the pass compartment. So in effect you would be making a really strange shaped firewall.
Since turbo lag is not a major issue with LSR, how about mounting the turbos back by the rearend, there is an aftermarket company doing that now on street cars. Sure you lose some of the heat energy, and plumbing may be a bit more work. But it may be a better alternative than what you are proposing?
Since I am not an expert, you really need to discuss your idea with the SCTA technical group. Also read the rule book as many times as required until you are sure you understand it. I am still learning........