How do you plan to transfer FIAT in and out of your exchange?
It's done by the peers themselves in the network. The peers hold the liquidity of the exchange.
Use case: One peer posts a sell for BTC, another peer agrees to buy in fiat. The fiat is transferred through the mesh network of peers, and the BTC is held in multi-peer escrow until the fiat has moved through all parties and has reached the destination, at which point the BTC is distributed.
Stephen