So 6 confirmations usually is enough right? For example if I have 6 separate computers running bitcoin client and connected at the same ISP and when i transfer bitcoins, lets say, to Bob, is it possible to force those 5 computers to make confirmation for my transaction and that way make coin transfer faster?
That isn't how confirmations work.
A MINER includes tx in a block. When your tx is included in the most recent block it has 1 confirmation. The next block will build on top of the current block and then your block is 2 block deep = 2 confirmations, when your block is 6 blocks deep it is 6 confirmations.
The number of peers who validate a tx has nothing to do with confirmations. If your tx is invalid then it will simply be dumped by all the nodes on the network. 0-confirm means the tx is valid but hasn't been included in a block yet.