The same misconceptions arise on every tyre thread.
The OP inquired about faster alternatives to their present tyre on a hybrid and -- correctly -- suspected there was a trade-off involved.
The downside to any performance tyre will be a less robust casing. A highly supple casing -- the hallmark of any fast tyre -- will necessarily be one that lets in more sharp objects.
The Schwalbe Ultremo, which I've used extensively, uses a high-tech, high-density vectran layer for protection. It is indeed a fast, relatively puncture resistant tyre ... but it is not suitable for daily commuting. Incidentally, if you happen to be running Ultremo Rs, make sure they are not part of the recall batch!
The most persistent misapprehension regarding bicycle tyres is that thinner and harder is faster. This is simply not the case, unless all your riding is on rollers or a meticulously maintained wooden track. In the real world, we ride on less-than-smooth roads requiring a certain amount of give, otherwise the bouncing of the tyre/bike/rider creates just the opposite of the claimed effect -- forward motion is impeded, not to mention traction and comfort!
Currently, the best r&d in this area (balance between speed and durability) is going into the 650b size, with a new 38mm "Pari-Moto" about to hit the scene, but I'd agree with a writer above that you might try something like the Conti 4-Season. Panaracer Pacela w/ "Tourguard" are also a nice tyre with a good balance between performance and durability. They are available up to 37mm. I haven't tried the new RibMo but it sounds interesting.
There is no good argument for anything less than 25mm and better to use minimum 28s IMO for commuting, touring and long-distance riding. And experiment with tyre pressures somewhat less than orthodoxy insists. For instance, unless you weigh 15 stone, a 28mm tyre needs no more than 70-80 psi. You might be pleasantly surprised.