Business 101: Make vs. Buy
I don't see it. I don't have a strong Media Telecom background, admittedly, but YouTube's content is IMO weak and, by its nature, easily replicated. Entertaining, yes, but not limited to YouTube distribution. And the site has only been REALLY popular for about 6 months.
So what does $1.6Bn buy you, other than legal risk? Market share, mindshare, etc... not much else, on the face of it. *IF* Google spent even $1BN on advertising, they could quickly put them selves in #1. A billion bucks on marketing something like this is an absurd amount of money.
Youtube has 1st mover advantage and/but VC backing. Google has a $20BN debt free balance sheet and a FAR cheaper cost of capital than YouTube's VCs.
Google: Buy
www.youtube2.com, market the hell out of it, and you'll still be in far less than a billion to buy replicable content and nonexistant customers. You should take a queue from Big Brother in Redmond, WA -- see a great idea, and find a way to make it yourself.