Like many 'boutique' pickups BKPs have a certain range that they excel in, that's one reason why there are so many different models. This means that they are not 'jack of all trade' pickups. Blues, jazz, and funk are certainly covered by BKP but I wouldn't think of the Miracle Man to cover those styles. You might be better off getting a second guitar with something from the Vintage or Vintage Hot range to do that kind of thing, and something from the contemporary range to cover the Symphony X style etc. Listening to it you might even find the new Juggernaut could suit the Schecter. You will need to order it in 53mm pole spacing on the bridge for the Floyd Rose, and be careful regarding the leg options. Generally the long legs are good in Gibsons (and essential for the bridge of an SG), but in other guitars you might not have enough room. You might prefer short leg if you can get away with them, as they suit a broad range of guitars.
On the funk, jazz, and blues stuff, I would probably look at a second guitar, possibly with P-90s. BKP also make humbucker sized P-90s.
Speaking of humbucker-sized P-90s, the Stockholm *might* be versatile enough to cover everything, but I would still tend to suggest having one guitar for metal (and rock at a stretch, depending on style) and another one to cover jazz, blues, and funk.