I don't think you can call a red-checked navy suit "subtle", by any stretch of the imagination! Such things are noticeably different from the expected sets of patterns, even just sitting across a table from someone. It's the kind of thing you'd get "nice suit" comments for, for example, which I would say automatically stops it from being subtle.
Having said that, I think it's a pretty damn cool outfit (handkerchief isn't my fave, but everything else rocks). Suit, shirt, tie & shoes work really great together.