At liftoff, each SRB produces 2.65 million pounds thrust [1]. Using Wikipedia numbers instead (2.8 million pounds for SRB thrust at liftoff [2]) gives a liftoff thrust to weight ratio of 1.33. The 3xSME produce 0.4 million pounds thrust at liftoff. The SRB thrust did increase as the burn progressed, then ramped down for max Q.
People are accustomed to SpaceX rockets rapid acceleration, since they conduct most launches these days, but historic rockets (and New Glenn) accelerated more slowly off the pad.
[1] https://www.nasa.gov/reference/the-space-shuttle/
[2] https://en.wikipedia.org/wiki/Space_Shuttle_Solid_Rocket_Boo...