1) Yes, two black holes can orbit each other. When galaxies merge, which is very frequently, their central black holes (there is some evidence that most if not all large galaxies have large black holes at their centers) fall into each other. However, if they were ever close enough to share an event horizon they would merge, as by definition, anything within their event horizons can't escape the black hole.
2) You can't accelerate anything to the speed of light that has mass, let alone something with the astronomical mass of a black hole.
3) The gravitational force of a black hole within its event horizon is strong enough to pull in mass-less photons (it is effectively an infinite force)! Thus, no known force will negate that. Matter can't be taken out of a black hole, except in the case of Hawking radiation, which is really a quantum phenomenon and not a gravitational one.
Neutron stars are very dense, and still not as dense as black holes, and they spin VERY fast, yet matter isn't just thrown off of these dead stars. That is because you are talking about degenerate matter. The rules of physics change for these objects. If electrons can't resist being crushed into a neutron star (and they can't, the electromagnetic force that normally keeps atoms apart, partially collapses, the electrons fail to repulse each other, leaving the nuclei of each atom to stop the collapse into a black hole), centrifugal forces can't possibly do anything. Well, they can do somethings, such as create ridges on the surface of the neutron star that periodically break and give off a very distinctive pattern when one observes pulsars (which are neutron stars that are positioned in such a way as to be visible from Earth.
4) Gravity falls as the reciprocal of radius squared. One black hole can never steal matter from another as anything within one is closer to the center of its black hole than to the center of the other black hole. Of course, this argument relies on classical reasoning. And black holes don't behave that way. However, the conclusion is still true.
5) Looking at a black hole would be like looking at nothingness with a ring of light around it (due to gravitational lensing). Thus, before two black holes merge, there is a short-lived stable path of cancelled out gravity between the event horizons of the black holes.
6) Black holes merge, they don't rip apart. When you have finite mass in an infinitely small radius, nothing will tear that apart (since this implies infinite gravitational attraction as well). You would see a distortion of the event horizons as the black holes came together, though.
Remember, the event horizon of a black hole doesn't represent the radius at which matter is held. The matter is in an infinity small area at the center of the black hole. The event horizon is just the radius at which light can no longer escape the attraction of the black hole.