Just to add my late 2 cents, since its something I feel strongly about.
I started double declutching my car (not a skyline), because the second gear synchro was shot. If you have a shot synchro, or one thats slow to work, only then can you really understand the value of double clutching and heel and toe. Try and engage second from third, and you'd have to lean hard on the gear lever to do it, and when it did drop in, it felt clunky and horrible.
But, if you double declutch it right, when you go to second from the slight neutral pause while you lift the clutch, the gear lever will actually fall away from your hand into gear, and the first time you get it right, it feels like you've just found neutral again. So, in any gearbox where you feel a slight notchiness or resistance when changing down a gear, it will assist you there. I assume skyline boxes are too slick though, so you probably can't feel any difference.
Heel and toeing. Why wouldn't you? Before that, I used to double clutch down the gears through every corner, and whenever i came up to lights - it was crap, because I had to let go of the brakes every time I changed gear. But with heel and toe, you never let go of the brakes, and you can change down gears much earlier in the corner, as you actually come into it, rather than having to slow down enough for your snychros to be able to work effectively before you change. I double de-clutch in my heel and toe, because i'm braking anyway, it doesn't affect my cornering speed, but i get a much smoother change.
And for all you drifters out there, you should know by now the advantages of heel and toe - come in mod speed in 4th, heel and toe through third to second, but delay releasing the clutch until you're past the apex, then feed clutch out fast (not drop!), and enjoy the back sliding under nothing more than the engine braking on the rear wheels