"Even if dinosaurs did evolve into birds to fill their evolution gap,"
Could you please give a definition of "evolution gap"? I am a Master student in Biology and have never heard of such a term.
"it does not explain how something like the common housefly could have evolved."
Because, while of course closely related compared to plants or Archaea or Bacteria, there are considerable differences between insects and vertebrates.
"Flies flap their wings simultaneously 500 times per second, even the slightest dissonance in vibration would cause them to lose balance and fall, but this never happens."
What is "simultaneously" supposed to mean in this context? Is he trying to say that it coud not work with 499 or 514,3252355 flaps/second? That would be far too narrow for a biological system and suspiciously convenient in terms of human time measurement.
"How could they 'evolve' such an amazing and specialized ability?"
How is "flap really fast" an "amazing and specialized ability" that could not evolve by natural selection (i.e. the reality of life in their ecological niche) favoring faster flapping? And even if you cannot imagine such a process, it does not mean no other human can, or that it is impossible. If it is "fly savely", than that evolved in insects long before the ancestors of flies diverged from the other insects.
"Why were dinosaurs never discovered before the evolutionist renaissance in the mid-19th century?"
Gideon Martell died in 1852, seven years before Darwin released On the Origin of Species. Richard Owen, who originally defined the taxon Dinosauria in 1842, was one of the most prominent opponents of Darwinian evolution (although admittedly, he actually seemed to have his own theories about changing species, and his arch-conservative political and societal views and his intense and mutual enmity with Huxley certainly were major factors as well). Indeed, it was (among other things) geology revealing Deep Time and the alien faunas of ages past that turned the mechanism of Evolution into a pressing question, not the other way around.
"Why do paleontologists think they can reconstruct an entire species of ancient animal from a few teeth?"
You are what you eat, and if I know your teeth, I know what you eat.. Also, you can compare the teeth to similar teeth from species we know more about.
"Why have so many dinosaur 'discoveries' turned out to be hoaxes?"
1. Because Science tests things, and, even if it may take a long time, eventually, frauds will be exposed and admitted.
2. In many cases, it were dishonest fossil merchants tricking collectors or scientists. Are they members of the Conspiracy, too?
3. While there is fraud of science, it is far rarer than the 100% fraud rate for "Creation Science".
"Why are all 'authentic dinosaur fossils' kept under tight lock and key away from any independent analysis?"
They aren't. Unless by "independent analysis", you mean "narrow-minded idiots with no idea how to treat valuable relics" or "conmen who make money from those idiots, and also have no idea how to treat valuable relics", which you probably do.
"Why has erosion and weathering not destroyed all these supposed prints and fossils that are allegedly millions of years old?"
The circumstances that preserve fossils are extremely rare, and most fossils are either indeed lost to erosion, metamorphic change or the mantle, or are embedded in rock that are so deep that they will only be exposed long after the extinction of humanity. But over the course of Millions of years, a great number of fossils is still bound to accumulate, and some of these are bound to surface in just the right moment for human palaeontologists who know where to search and what to look for to come across them (after spending an incomprehensible amount of time protected from erosion by kilometres of rock).
"If dinosaurs were supposedly wiped out by a meteor impact or other such global catastrophe, why is it that all the other various animal species that exist today were not similarly wiped out?"
50% of all known species went extinct. Many other groups had no survivors at all, such as the Mosasauria, the Plesiosauria, the Pterosauria, even the venerable Ammonites. Even most mammals died out.
But Life itself is durable, and this was actually only the second-most severe Mass Extinction Event (the worst would be the one between Permian and Triassic, aptly nicknamed "the Great Dying", which killed about 90% of all species). Mostly by pure luck, some lifeforms survived into a new world of opportunity.
Therre are not many Living fossils, and those that are have truly stood the test of time, virtually perfectly adapted to those pockets of stability that no pesky meteorte could ever uproot.
"There are many more questions which need to be answered before anyone in their right-mind should consider the existence of dinosaurs anything but a convenient evolutionist myth."
As said above, Dinosaurs predate Darwinian evolution. Evolution, dinosaurs and deep times are each backed by so much difference that only the solipsistic, the truly and the willfully ignorant can deny it.