Ok, so attached is the long-awaited graph. It shows Farsight's equation in terms of what the remote observer sees happening to the infalling observer.
Arrogant, derogatory comments made while being wrong don't make you look any better. Clearly, from the graph, you can see that as the infalling observer approaches the event horizon, the time (for the remote observer) between ticks of the infalling observer's clock gets longer and longer. There is an asymptote at 1, which tells us the remote observer never sees the infalling observer reach the event horizon, he just sees him getting closer and closer. The graph tends toward infinity as this happens, but it also never reaches infinity, since infinity isn't a number.
The remote observer
may see the infalling observer's clock freeze but only because it isn't precise enough to show the next tick: you can always repeat the experiment with a more precise clock and see it tick longer.
Indeed, you can also always detect the motion of the infalling observer as long as you can see him: he gets redder and redder as he approaches the event horizon, telling you clearly that he is still moving -- until he redshifts out of view.
Now I do have a quibble with brucep's description (and others who understand Relativity have said the same thing), but it is minor in that he's focusing on a different error of yours and Farsight's and glossing over this one, not being precise enough about what is observed. I'm quite certain that he understands that the infalling observer only sorta appears to freeze, but doesn't actually freeze. See:
http://math.ucr.edu/home/baez/physics/Relativity/BlackHoles/fall_in.html
So you and Farsight say you agree with the math of GR, but the math plainly doesn't say what you say it says. No: you do not understand it.
I'm focusing on this error both because it comes first and because I think it is important on its own. But brucep's position is also valid: there is no good reason to prefer the remote observers observations, particularly because they "break" Relativity's first postulate that the laws of the universe are the same everywhere. And transforming to the infalling observer's coordinates makes the problem go away. Essentially, all this is telling you is that space is getting in the way of you seeing what is happening to the infalling observer - this does not imply that he doesn't pass the event horizon. It is - as the name implies - as if he's disappearing over the horizon. A similar thing happens with space expanding faster than the speed of light and not being able to see distant objects because of it: it doesn't mean they aren't there, it's just that their light isn't reaching us.