As a Likud member with a pretty good idea of how the party functions I must say your post shows amazing ignorance and makes assumptions not in evidence. The purpose of the Central Committee is to make major decisions for the party rather than having the party leader (currently Tzaki Hanegbi) or a few close advisors make such decisions on their own. The purpose of the Central Committee is to limit the size of referendums to make them manageable rather than open every little vote to the entire party membership. Again, the presence of the Committee insures a greater voice for more disparate views and greater democracy within the party. American parties would benefit from such a structure.
So your CC official function is the same as the official function of the general congress of CPSU [making and approving major decisions, choosing the leadership, settling the major problems etc]. The ratios then still stand: 1to 40 vs 1: 3000, and so does the diagnosis.