Are Coyotes and Mountain Lions Responsible For Declining Western Deer Herds?

Elk and wolves aren't the only predator-prey debate raging in western states right now, according to this story in USA Today:

Declining western deer herds have biologists, sportsman groups and environmentalists clashing over whether mountain lions and coyotes are largely to blame and should pay with their lives. On one side are those who believe the number of deer predators should be reduced through targeted hunting programs. Others say factors, such as the loss of natural habitat and wildfires, are the issue. It's an emotional debate, says Jim Heffelfinger, regional game specialist with the Arizona Game and Fish Department. "The scenario plays out in just about every state, Heffelfinger says. "When these things flare up, they're white hot."
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_That's the case now in Nevada, where the issue of killing lions and coyotes that prey on deer has state Department of Wildlife officials at odds with a governor-appointed commission that oversees them. Nevada's mule deer numbered about 106,000 in 2009, down from a high of 240,000 in 1988, according to state estimates. Mule deer, characterized by their large, mule-like ears, are common throughout the western United States. "We've got a war going on," said Cecil Fredi, president of Hunter's Alert, one of two hunters groups that petitioned the Nevada Wildlife Commission to approve three predator control projects last December. It did so against the advice of department director Ken Mayer and his biologists, who said killing mountain lions and coyotes was not scientifically justified. Officials with the U.S. Department of Agriculture's Wildlife Services, which has the final say, refused to proceed. Doing so without full support of state wildlife officials would put them in an "untenable position," said Jeff Green, director of the western region for Wildlife Services. State biologists say the deer's troubles are not due to predators but to continuing loss of habitat from development, wildfire and invading non-native grasses.

Dig deep enough, and virtually every debate about how to manage game animals comes down to the issue of predation versus habitat. What are your thoughts?