It's unclear (as not native English speaker) if those are weights in lbs or kgs. If in Kgs, goodlifts, keep up what you're doing and don't do Stronglifts which is designed only to build 'okay-decent 1 rep maxes'.
If those lifts are in lbs, firstly you will need to workout lots, and eat quite a bit more than you currently do, for many years.
I do agree that training with the bar alone on large compund moves is all but worthless, except maybe as:
A warmup, where you use perfect form at all times (this can be good to develop mind-muscle connection and really feel the muscles you are targeting with the exercise at work).
Certainly, in order to get stronger, you will have to lift heavier weights than you can at the moment. So make sure that each time you lift, you are trying to beat your previous top weight, although you can do a few warmup sets before you get to the 'record-breaker' set.