If every Bitcoin user would run Bitcoin miner in home?

[thisappointed]

Would it help for Bitcoin network if i run 1 Bitcoin Miner?
I am thinking about supporting bitcoin network.
I know that we have businesses who runs thousands of miners, to earn money, but i don't want to earn, i want just to support Bitcoin network and i wonder do my contribution would help, or we just need leave all the work for big miners?

Last question, would 1 confirmation time - 20 minutes would be the same if every  Bitcoin user would run atleast 1 miner in home?

I guess yes, because even it is a little contribution to Bitcoin Network, still, a Contribution is a Contribution. If we are all going to run even a single miner at home, then, there would be a large of miners that are going to mine bitcoin, if we are all going to participate on this campaign to support the Bitcoin Network, though, above all this, there are consequences and different problems that might get this campaign not to happen at all.

First, a single miner right now is very expensive that not everyone can afford, specially those bitcoin users that have just started on doing bitcoin. Second, bitcoin mining consumes large amount of Electricity, causing you Electric bill increased than your last one. Last, in order to mine bitcoin through your Hardware on its full performance, you need an stable fast internet, and if you don't have any of this one, then, I'm afraid to say that you can't mine bitcoin at all.

[Slark]

Just do it. Get your own miner and either:

1) solo mine

Isn't solo bitcoin mining basically a donation of your hash (rather minor amount, but hash power nonetheless) to the bitcoin network?
At this point your chances of solving a block are really close to infinity - so it is safe to assume it will never happen.

Op, if you want to help bitcoin network run a node. It will cost you less, can be done on your standard PC.
It is not the same as mining but still helps the network by validating transactions and blocks.

[Kprawn]

Bitcoin's strength is in it's big decentralized network of nodes. It cannot be easily taken down, if it was distributed to 1000's of nodes. So you would be

contributing to the security in the sense that you would be making it more decentralized. As you said, you are not planning on making money, but just

supporting the network. Go for it 

[nyanhtet]

It can help a little bitcoin not to be centralized.