Congratulations on your new baby! Glad she is healthy.
Now, you hit upon something with your reference to radiometric dating. "Radiometric dating is suspect in that it is based on unsupportable assumptions (I believe this was previously mentioned in this thread). Rocks observed to have been formed decades ago routinely date to vastly greater ages."
Now this is a long thread and I do not remember everything that went on in it. And I really am not in the mood to go back a reread the whole thing. But I do not believe there has yet been any legitimate problems with radiometric dating raised thus far.
You alluded to rocks being dated to the wrong age. There are only two examples of this I can think of from this thread. And I amy be confusing threads. In one, the RATE group took a volcanic rock that was known to be only a few years old and had it dated. Unfortunately, they asked for it to be dated with a method useful only for rocks a few millions of years old to a few billions of years old. Any age less than a few million years would have placed the level of the daughter isotope below the detection limit and down into the noise. So the age came back, with a range of course, of somewhere around several hundred thousand years old. Now, any scientist in the field would know that an age in this range was just noise and basically implied an age of zero, or at least younger than what the method is capable of determining. But the RATE folks ignored this and promoted it as a failure of radiometric dating because a rock a few years old dated to a few hundred thousand years old. And then, of course, it ends up getting posted on this thread. Now whether this was done with ignorance or malice, I have no way of knowing though I do have my own opinion. These nice people were also kind enough to do the same thing with C14 dating of a diamond. In this case, the age of the diamond dated to an age that indicates that you are only measuring background radiation and therefore you can only say that your date means older than that age but we have no way of knowing how much older. Of course they again present this as a failure when the actual results were exactly what one would have expected. You may see which way I lean on the malice versus ignorance question.
Now the other was Snelling and his young wood in old limestone. Except that all indications, he won't let anyone see the samples, are that he had iron oxide radiocarbon dated as opposed to wood. The lab that did the dating called him up and told him that it was not wood. He said date it anyway. The literature of the field says that iron oxide can get into these types of areas and when dated give a completely meaningless date. He ignored this, too. The areas he found the "wood" are known to have many deposits of such iron oxides, but since he has already ignored this possibility... But he has a nice story to tell.
So far, the anomalous dates I have seen proposed usually either fall into the category a wrong interpretation of the answer, as shown above, and a bad selection of material to date. That is when enough information is known to piece everything back together.
Now, as far as your claim of variability within the data. There will always be variability. But that does not mean there is a problem. I work at a pilot plant doing research. We have a lot of instrumentation measuring the gas composition of our various streams. Sometimes we may have 4 or 5 instruments making the same measurement. If we are only getting a spread of 5 - 10% between the different readings, we are happy. Try it this way. Do you remember doing chemistry labd in school. They would always make you repeat things at least a few times. And while the answers rarely came out to be the same between trials when you got similar answers, it gave you confidence that you were doing the experiment correctly. Same thing here. YOu make your measurements necessary to get a date. You do them a few times, there will be a range of values measured which will correspond to a range of dates. In addition, these guys have been doing this long enough to know what their experiemntal error is. And this is reported right there in the published materials. If they date several times, you will generally see all the results. Even if you get only one result it will not simply say "100 million years." It will say "100 (+/-2) milion years." They give you the uncertainty. Its good science. Do you know think there is some variability in the rate at which the oceans are spreading apart? So any estimate there will also include some experiemental error. But when you look out across a wide swath of the ocean, and you can get an estimate of the age of a given region from two different sources, completely indepenent of one another, and you repeat this for the different areas, and the two methods consistently give ages in the same ranges, you are probably doing something right.