Why would you replace the caliper for a brake shimmy? It's most likely the bushings in the suspension, not the brakes. Even if it was caused by the brakes, it wouldn't be a caliper unless it was sticking, but more likely a brake rotor.

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Kirk
Las Vegas
2016 X5 40e Mineral White/Black Dakota Leather, ZLL, ZCW, ZDA, ZDB, ZPP, multi contour seats, rear side window shades, HK stereo
2011 E90M3, 6-speed manual