It's not a good idea, your coin will be open source, so after it's not difficult to reverse engineer a CAPTCHA.
Are you developer? It's matter of design. Your computer will not produce the image for you, so you will not able to do any reverse engineering. P2P network will produce the images and will distribute them randomly between peers.
Let's think. Is bitcoin changing the system. I think not exactly. Who can buy ASIC- only the rich. If they want, they can buy the most powerful ASIC or quantum computers (I'm talking about banks, corporation as google, apple, microsoft ...), so they will get the coins. It's a lost cause.
This statement is not fully true anymore:
"Bitcoin is ... nobody owns or controls Bitcoin and everyone can take part. "
I agree with you!
The system actually never changes!
People or families that were once in power are always in power.
Look at the eastern european countries "new democracies" who is on power in this countries today!
Same communist motherfuckers ex KGB bastards are the richest and hold every key position in every eastern European country.
Therefore the same applies to bitcoin alt-coin.
Who has or owns more FIAT currency will also own more crypto currency in future.
Anyway related to the captcha thing I found an interesting article maybe will be of good use.
http://www.forbes.com/sites/singularity/2012/08/28/artificial-intelligence-will-defeat-captcha-how-will-we-prove-were-human-then/