The Hipshot has the same screw spacing as a vintage style Fender hardtail - the screw holes are just over 7/8" apart (0.89 inches, to be precise!)
Whether or not that matches your bridge depends on what your Strat is - the picture looks like the bridge from a Tom DeLonge Strat? I don't know if that has the same specs as a vintage bridge.
There's also the question of whether or not the string holes will match up, but even if they don't it's usually fairly easy to get round by widening the holes a bit (on the top side of the body only, no need to drill right through).