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It is not physically possible for 2 people to be the ancestors of every person alive today.

Why wouldn't it be? If you believe that evolution was the way it was done, then the mutation(s) that occurred to set the human race apart should have happened initially in only a very small number of creatures. It seems improbable that the exact same mutation would have occurred at the same time in various locations around the world. If you believe in creation, then you would believe that God had created Adam and Eve (and every other living creature) perfect in every respect, and that would of course include genetically. The thinking of those at AiG, which I realise doesn't carry much weight around here, is that GOd created each creature as a *kind* and with a huge genetic potential for variation. They think/speculate/believe that natural selection resulted in a lost of information as species became isolated, which is why you can't go back to the original.

Also, it appears that meteorlogical conditions could have been different before the Flood and so between the fact that it would have taken some time for mutations to occur and the vast amount of genetic material that could compensate, or mask, mutations, there would not have been the problem with close relatives breeding. Also, recessive characteristics are not going to start showing up until they are spread throughout the gene pool which could take some time. The problem with inbreeding is that recessive mutations are more likely to show up, but if there were no mutations, there'd be no problem.

"Why wouldn't it be?"

Basic genetics.

"If you believe in creation, then you would believe that God had created Adam and Eve (and every other living creature) perfect in every respect, and that would of course include genetically."

Define *perfect*.

"The thinking of those at AiG, which I realise doesn't carry much weight around here, is that GOd created each creature as a *kind* and with a huge genetic potential for variation."

They are mistaken. Each individual has only two copies of each gene. Two individuals could not have the dozens and dozens of alleles that actually exist. The variation we see is FAR greater than is possible from just two people about 6 thousand years ago.

"Also, it appears that meteorlogical conditions could have been different before the Flood..."

There is no evidence of a worldwide flood, nor is there evidence that 6,000 years ago the weather was radically different.

"and so between the fact that it would have taken some time for mutations to occur and the vast amount of genetic material that could compensate, or mask, mutations, there would not have been the problem with close relatives breeding."

Except that it doesn't work that way. DNA in sexually reproducing organisms only holds two copies of each allele. Inbreeding would have been swift and painful.

"Also, recessive characteristics are not going to start showing up until they are spread throughout the gene pool which could take some time."

It would be very very fast when the founder population is only two people.

"The problem with inbreeding is that recessive mutations are more likely to show up, but if there were no mutations, there'd be no problem."

There are always mutations. Everybody carries some.

You wrote: The thinking of those at AiG, which I realise doesn't carry much weight around here...

It's not that it doesn't carry weight.

For example:

http://www.answersingenesis.org/museum/docs/1phase01-16-02.asp

Buddy Davis is nearing the completion of his work on the 40-foot Tyrannosaurus Rex model he is creating for the museum! When you walk into his workshop and come face to face with this beast it inspires frightening memories of movie scenes with people running from the ferocious, apparently starved, giant. However, we know from the Bible that God created all animals, including dinosaurs, to be vegetarians. It was only after sin and the resulting curse were introduced that animals began to eat each other. Before that there would have been no reason to fear a 40’ long, 12’ tall T-Rex!

Let's be frank. This teaching belongs in Sunday school, not science class. That's all this is about.