This thread is all over the place, but I want to challenge some assumptions:
1. That a single stick lacks power
This is simply not true, but you may have this impression because of a few factors:
#1 - In Kali, lightweight rattan sticks are used as training implements for safety and durability. For actual combat and duels, much heavier hardwood sticks and swords were used. A fighting weight sword or stick will be on average 500-700 grams -- a good two to three times heavier, and way, way harder than your typical rattan stick, which weighs only around 200 grams. For sparring, many people use even lighter weight rattan sticks, around 140 grams. Add on top of this the fact that rattan is very flexible, and not nearly as hard as a good hardwood stick, and you can see why they don't break bones, and therefore are good for training (rather than actual use). I actually made a thread for discussion of this point in the FMA Discussion board.
#2 - There are a lot of very stupid stick fights, because people gear up with masks and hand protection, pick up extra light weight rattan sticks, and then proceed to ignore eachother's hits simply because they don't hurt badly enough. This is just a stupid way of sparring. If you wear protective gear and use extra light weight sticks in order not to hurt each other, that's great, but you should understand and respect the damage that a real weapon can do to an unarmored person.
You can very easily break hands, legs, heads, ribs, and collarbones with a hard wood stick and even half decent body mechanics. In fact, you can even do that with a rattan stick of average weight against targets such as the hands, head, and collarbone -- maybe also the knee. A solid blow to the head should generally be considered lethal, especially if using a hardwood.
2. That swords and sticks are the same
They're not really, though many of the principles can be applied in a similar manner, but even within the Filipino Martial Arts, if you compare predominantly stick fighting systems with predominantly blade oriented systems (Kali Ilustrisimo being an excellent example of a blade based art), they are very different. You do not need to generate nearly as much raw power with a blade, because, well, it's sharp, and it goes in the target very, very easily -- especially the tip. It doesn't take much to sever the tendons, or to effortlessly plunge the point into one's adversary. The same is true of Japanese sword arts. Bladed arts typically use smaller, and more efficient thrusts and cuts. Because large swings and chambered striking positions are not necessary to generate power, your weapon can spend a lot more time on the centerline, where it can both deflect incoming attacks, and attack or threaten your opponent.
You can't be nearly this efficient with a stick:
And, just so you know the chopping power of a blade:
As for two handed use of longer sticks, I would actually look into Jodo or Shinto Muso Ryu. Due to the sheer weight of a hardwood walking staff, and the use of two hands, you can be more efficient with this weapon, too, than you would with a typical stick.
Jodo is a simplified version of this. But, my impression is that the OP may not appreciate very formal Japanese arts, and Jodo isn't common outside of Japan anyway, so I might also recommend looking into HEMA (Historical European Martial Arts). Both Longsword and Staff systems exist in HEMA and may be closest to what the OP is looking for?