Just a side note, you'll recognize that the build of the guitar is the foundation of your tone. If you compromise the foundation, or perhaps improve the foundation, you can expect one of 2 things: 1) tone will suffer some form of loss, or 2) tone will improve and be more pleasing to your ear.
The illustration I might use is this: Say for example, there was something of value in your home that you had misplaced. You spend an inordinate time looking for it. You look in every possible location, but cannot find what you're looking for. Then, you think to reorganize and restructure how your living space exists. You put all of your belongings in its proper place and then use a broom to take care of the loose material on your floor. It's at that point you find the item of value you misplaced, and you're elated, so you go out to celebrate finding what you had misplaced.
The same holds true for your S2. Structurally, your guitar's foundation is sound. Reorganizing and replacing a bridge or trem block may solve your problem, but it also may change the fundamental foundation of the guitar's tone. If it's possible for you to accept that potential change, you'll be happier for finding the tone you'd been looking for.