Any answer is going to depend on position, players left, chip sizes, tournament type, player tendency's, and other stuff. I'm not sure because I'm a little confused about your post but it sounds to me like there are a few things that can be tweaked.
First, don't be scared to fold pocket pairs before the flop. Low pocket pairs can be folded very easily, if you can only set mine and the blinds are high, its not worth it. Second..when you push all in you have to think about what hands are going to call you. Its rarely going to be a bad hand, especially when stacks are deep. Its a major flaw in peoples games and is all over the place (cash games..big problem). People push with 10s or js or even 2s because they are scared to play the hands. In lots of situations, short stacked or late in a tournament for example, it can be very benificial to push all in. But you have to understand the problem with it. It works well until you get called.