Sundownrider,
Like the others have said, mountain lions aren't the hardest animals to kill. I've heard lots of reports of them being shot and killed with the lesser calibers of the world. Honestly, you probably have little to worry about back there, even if one or two of them have moved into the area... The lions have huge ranges, and are very elusive. The fact that one or two have popped up isn't a big surprise, but you may not have anything close to a viable breeding population in your area.
Honestly, you'd be lucky if you did see one! I live in CO, which is serious mountain lion country, and I've hiked here many years (I hike three days a week, on average)... In my thousands of miles of hiking in this state, I've only ever caught a fleeting glimpse of a mountain lion running across a dirt road that I was driving on near The Great Sand Dunes (and, I couldn't even swear to the fact that it was a mountain lion). My wife saw one on a paved trail near our home, but I was at work that day and didn't get to see it. She said it was crouched and watching her from the side of the trail, and she thinks it was having eyes for our dog (who at the time was a twenty five pound puppy).
I can understand where you are coming from, because my wife's encounter was a bit disturbing (suburban environment, and mannerisms of the animal... my wife is educated as a wildlife biologist, so I take her at her word on this one).
I've even hiked a lot of the trails near Boulder where mountain lion sightings are frequent, in hopes of seeing one... No luck for me.
In the rare instance where they do attack, it often involves people's children or dogs. They are opportunistic, like any predator.
But, anyway, I just carry a .40S&W Glock as my general purpose trail gun in this state, and I can't see any reason why that wouldn't handle your average mountain lion.