To qualify as a science, Edenics would need to switch from trying to prove your hypothesis, to trying to disprove it, and failing. That's how science, done properly, works.
In other words, you'd have to set up other competing hypotheses, other proto-languages, and look for coincidental links with the same methodology and degree of assiduity.
If there were (say) only one fifth or one tenth as many coincidences for the best of the competing hypotheses, you could be onto something.
"There are only a few hundred English-Edenic links as easy as rageel (usual) and ReGuLar."
I think this betrays that you are working backwards, looking for evidence to support an interesting, but preordained, conclusion.
Done with sufficient energy and application, this process is usually "successful", regardless of causal connections or factual merit. The world provides an infinite number of "coincidences" which are not causally connected.
"Regular" entered English from Latin in the 1300s and meant pertaining to a religious rule (regulus) as opposed to secular.
Over time it came to be broadened to anything (including secular and natural events) which followed a rule or order, and from that came also to signify repeating at uniform intervals. (in other words, following a mathematical rule)
It is only relatively recently, and emanating primarily from changes in usage in the US*, that "usual" has become a competing primary meaning.
*(although this influenced writers who travelled in the US, like Charles Dickens)
I've seen this concept applied to Chinese writing where each symbol in a word forms something else.
What would be the origin of the word "corn", "tower", "water", "love", "God", "divine"?
Complicated to state that language origin is hebrew if the aboriginal australians speak it too - they have been isolated for 10.000s of years!! Does not exactly fit into your timescale of Abraham, Ham, Babylon, Nimrod. However, clearly it does seem that their speech reveals a connection. Could this mean a much more distant origin?
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For then I will change the nations [to speak] a pure language, so that they will proclaim the name of G-d,
to worship Him with a united resolve. (Zephaniah 3:9)