You're wrong about this. The Bitcoin network would be _much_ worse off (verging on useless) if the global hashrate was throttled. The purpose of mining is not, as you said, to distribute Bitcoins. The purpose is to make it extremely difficult to append a forged block to the blockchain. The higher the hashrate, the more difficult forgery is. The reason that so-called miners receive Bitcoins is because the hashing takes resources (e.g. machines and electricity), so there needs to be some incentive to perform this service. The fact that it happens to distribute Bitcoins is convenient, but ancillary. (There are other ways distribution could have been done.)
Read this link for further information on why you want the global hashrate to be as high as possible. Basically, if a single attacker could match the hashrate of the network, they could do very bad things:
https://en.bitcoin.it/wiki/Weaknesses#Attacker_has_a_lot_of_...