I think I've pinpointed the fallacy that DrTesla is most guilty of. Naturally, this is arguable, but I think there's a good case to be made for it.Self-Sealing Argument
Basically, he's trying to make an argument that can't be argued against. Consider what he's been saying all along: something that is irreducibly complex can't function with a single necessary part missing, but any part that can be removed isn't necessary. Frankly, it's a vacuous argument - he isn't telling us what parts are actually necessary in order for something to be irreducibly complex, just that you can't remove them, so he can't be 'proved' wrong by experimental testing. Or at least, so he thinks.
In actual fact, this fallacy is the one that ties all his other fallacies together. And it isn't as strong as he thinks it is - because he's arguing about science, not logic. Science is about making specific predictions and then doing tests to see if the predictions are right or wrong, which he clearly isn't doing here. Instead, he's trying to argue that his conclusions are right based on various reasons, which is logic. Logic by itself does not and can not disprove something learned through scientific testing. It does not matter how logical an argument is if it does not correspond with reality.
It's like Zeno's paradoxes, which are inherently very logical. Yet, trying to use the halfway paradox to assert that motion is impossible is clearly wrong, not to mention ridiculous. The same goes for any other logical argument that tries to assert something contrary to reality.