Remember, cost is a relative thing. Buy a cheap gun and a cheap scope, as well as cheap mounts, and then take your chance hunting. Then, use a good gun, good scope, and good mounts (I'm not saying buy the "best" of those, just "good.") You will notice a difference.
The above is even more true when you are going on an important hunt. Why take a higher risk that your equipment will fail and/or not fully perform?
I'm just saying that, generally speaking, you get what you pay for, and Package deals, generally speaking, contain cheap components all the way around. The best thing that one should do is shop around for deals. There are super buys on guns on the auction sites, and there are sponsors on this site that have great deals on scopes.
Believe it or not, with a little bit of patience, you get a much better gun, scope, and mounts for a price that is equal to, or even less expensive, than "package guns."
Zachary