I’ve tracked an rx8 too (admittedly one with no interior, r888s and bc racing suspension) and it was great fun, it’s my mate’s toy and I had a riot keeping up with it in my old 645ci.
In answer to your question, cooling system is absolutely fine but you’ll prob want to swap the pads out for something better. I love the Performance Friction pads, match them with their discs and stopping power and fade are exactly where you’d want them to be.