I am skeptical about them being the same height because the numbers indicate otherwise. A 75 profile tire is slightly taller than a 70 profile of the same tread width. On top of that, the Bridgestone is a wider tire, which means the 75 profile increases the sidewall height even more. That's because the profile number ( 70 or 75) is a ratio of sidewall height to tread width, i.e. 75 means the sidewall height is 75% off the tread width. The Bridgestones have a higher ratio (75) of a larger tread width (245), so the tire ends up measurably taller. That increases the circumference, which in turn throws the speedometer & odometer off and even affects the performance a tiny bit. Usually when you go to a wider tire, you decrease the profile (ratio) slightly to compensate.
A Bridgestone dealer should be able to give you the exact "rolling circumference" for that tire and you could compare it to the Michelins circumference number.