There is always going to be some level of translation from tabletop to CP game unless your goal is to provide 100% tabletop experience, which I do not thing was every aimed for.
One note in the mod the OP linked stood out to me, the removal of critical failure on skill rolls. Personally I like this feature. There is an element of risk to ANYTHING and even a master at a skill can make a mistake. By allowing that simple chance for skill failure no matter the bonus you introduce that reality. The issue for this however comes back to a limitation of the DnD system which is using a D20 instead of percentile. So how about a compromised fix. If you roll a Natural 1 then you have a reroll if you roll a 1 or 2 on the second roll you have auto fail.
I would like to see some of the more base DnD features return to the game. I would love an option to roll for my stats as well the original racial modifiers.