Will redheads be extinct by 2100?

This article appears to have been published in 2005 and yet my mother forwarded it along today after watching a comedian on television talk about the potential extinction of redheads. While he offered to pair with any carriers of the recessive gene, I must say that my experience as a redhead is that we seldom have trouble finding partners, though his offer to help future generations retain the gene is quite generous, I'm sure.