Well, firstly, what is this cloud orbiting? One of our planets? Only Saturn has rings. Orbiting the sun?
The Sun. Absolutely the Sun. The Sun completely dominates the gravitational potential of the solar system. Every giant planet has rings. Saturn only has the biggest and most beautiful ones.
Would we not be able to see this "ring around our other orbits"?
It is not a ring, it is a cloud. Spherically symmetric. We say that because long-period comets come from all directions, not just from one particular plane.
What would cause one of these masses to suddenly, randomly, break away from a billion years of routine pattern of orbit and get the momentum to come toward earth?
That's a good question. The answer is that no, they do not suddenly, randomly break away from a billion years of routine pattern. The Oort cloud objects probably have a random distribution of orbits. The vast majority of those orbits could never be made into comets; but in a random distribution there will always be a small fraction of bodies that have already extremely eccentric orbits. These are bodies that have extremely little angular momentum. A circular orbit has maximum angular momentum, and a perfectly radial orbit has zero angular momentum. An Oort cloud object that has a semimajor axis of 10,000 AU and reaches as far down as (say) Saturn, already has only 1.4% of the angular momentum of a circular orbit. If it loses another 1%, it will reach the Earth. So a small gravitational nudge could do it. Oort cloud objects are far enough that they are only very loosely bound to the Sun; so a torque from a passing star or the Milky Way itself an nudge them.
You know what? This is one big universe. There are chunks of rocks out there. Every once and a while one comes our way.
That wouldn't work. First, things in the Galaxy are too far away for random chunks of ice to get to another star. Second, the orbits of these comets show that they are bound to the Sun. They are orbiting the Sun; they are not external.
There doesn't have to be a cloud of orbiting debris out there that spits one out from time to time. We have the Hubble telescope and it can look light years into the great beyond. It hasn't found the Oort cloud.
Why do you think that Hubble would be able to see the Oort cloud? An Oort cloud object way dimmer than a distant star. Consider: You can't even see Neptune with the naked eye, but you can see many stars with the naked eye. Neptune is a lot dimmer than a star. Well, a 1km body at 10,000 AU is a 10 quadrillion times dimmer than Neptune.
They cannot bring God into it or their house of cards falls down.
You did not bring god into it either. You were talking about random chunks of ice coming randomly into the solar system. Your hypothesis is disproven by the orbits of the comets. They clearly belong to the solar system.
Oort shmort.... not observable, not measurable, not believable. It's faith in figments.
"Good science is observable, measurable and repeatable. Everything else is junk!"
Don't believe if you don't want to. But the Oort cloud concept is testable: (1) If the Oort cloud objects formed with the solar system, they should have an isotopic composition that matches the solar system. This is difficult to test, but it is testable. (2) We could send a probe there (like, maybe a solar sail). Difficult, but it should be done one day. Let's distinguish between "not observable" and "hard to observe".