I like your vision.
Here is the problem:
If cp had the chance, right now, to close eop/fo, leak their leader boards, take their website offline for extended periods of time, then they would do it. This applies, vice versa to the other two clans. They absolutely hate each others' guts. In terms of fo, fi, cp and eop, which are all very old clans with enormously loyal veterans, they all remember how fierce the initial rivalries between their clans were, and how viciously they were fought - they simply aren't going to compete in a healthy sportsmanlike way with each other. Just look at weekends, it's a complete main fest, to get advantages over one another, by camping callers, leaders, prominent members of rival clans.
What you are proposing would need a complete and utter attitude shift in the pure community, from rival gangs who wouldn't give two brown sticky stuffs if their rivals died in their sleep, to sportsmen who were in it for the genuine, healthy, competition. The latter is what makes csgo and league competitions possible.
Best of luck trying to change this community, but the resistance you will face is absolutely ingrained in the fabric of every HPC.