i'm going to have to agree with cav on this one. if you're going to buff it with those products, try using a few coats of sanding sealer (if you don't want to do a CA type finish) after you're happy with the sanding, do the last few grits of micro mesh and then buff it. i've done quite a few bottle stoppers with this method and the shine ends up pretty nice.
but if you do want to use the FP, i'd put it on last since it's a fairly fragile finish and the buffing might harm it... i can't say that's from experience though.