I mean they are totally and completely different in that if you calculate their sequence homology using a PAM or BLOSUM matrix, it comes out to be chance or less. If you put the proteins through AllAll or MultAlin, no alignment can be produced. (Translation for nonspecialists: “John went to the store” and “Jim went in the store” have high homology, whereas “John went to the store” and “Call me Ishmael” have zero homology.)
batgirl, think of all the serine proteases you can think of- are they all just minor variations on trypsin/chymotrypsin/elastase? Clearly those three are the same protein with differences in binding pocket, so why was the serine protease reinvented so many times? Why have metalloproteases, aspartic proteases, etc. when serine proteases get the job done just fine?
Take almost any protein and sent it through a BLAST search (for you nonspecialists, it’s a database search that looks up homologous proteins) and you’ll probably find homologous proteins of different function. Vertebrate lens crystallin is famously homologous to a metabolic protein, but I forget which one. A striking example is gelsolin, which has six highly homologous domains of identical fold, but all of which have different functions (one binds to actin, one binds calcium, I believe one severs actin, etc.) Gelsolin combines two problems: the calcium-binding domain is needlessly modelled on the actin-binding domain, when it could have been based on the ultimate calcium-binding protein (like calmodulin.)
But your system implies that any phylogenetic tree would show all organisms at an identical distance from a common “ancestor” (in this case, God’s perfect archetypal proteins.) In reality, phylogenetic trees based on DNA match those based on the fossil record to a surprising degree of detail- like I said, even the fact that insects came onto land before vertebrates is recorded in their DNA. Similarly, molluscs and vertebrates developed eye lenses separately- and that’s written in their DNA too. If you know how to read it, the DNA is like a history book.
-Ben