I dont think world cup beats cl or vice versa. Both have their ups and downs.
In the CL you have teams with too much (borrowed) money that dominate. At the World Cup you have populous nations that rule.
Level of play is higher in the CL, but the WC is more special cause its only once every 4 years and it unites the country.
World cup is exciting exactly that it's country vs country it's every 4 years etc etc.
Domestic club level will always be more competitive than national team level.... international friendlies are absolutely a disaster for national clubs and every year there is always some major team affected by star players being injured during these friendlies.
Comparing World cup to Champions League as to what title is more important is silly because neither have to do with the other.
edit:
Also the theory that big money means you'll dominate every year.... well we see it season after season teams spending xxxx amount of money and never doing anything whether in CL or in domestic leagues...... Tottenham has done absolutely nothing with all the money they spent etc.... money doesn't mean titles
Dortmund, Atletico, and vast others are proving that... Montpellier etc