"Wait till you see Tu-160 a complete copy of B1-B made possible by Putin's colleagues :) "
The Tu-160 definitely has a lot of resemblance to the B1-B, but there are also substantial differences. Basically, the Russians made the Tu-160 bigger and faster than the B-1B. Some points of comparison:
Engine thrust per engine: 30,000lbs (B1B) vs 55,000lbs (Tu160)
Gross takeoff weight, max: 477,000lbs (B1B) vs 600,000lbs (Tu160)
Wingspan (extended): 137ft (B1B) vs 182ft (Tu160)
Length: 146ft (B1B) vs 178ft (Tu160)
Speed: 900mph (B1B**) vs 1400mph (Tu160)
Unrefueled ranges and internal bomb loads end up being similar, though.
**The B1A had a top speed of ~1450mph at 50,000ft. This feature was removed in the B1B production model.
The Tu160 and the B1B are rather like the Buran and US shuttle: strikingly similar on the surface, but with significant differences under the hood. The Tu160 definitely isn't a rivet-for-rivet copy of American hardware like the Tu4 Bull.
Both Buran (Shuttle) and Tu-160 (B1-B) were stolen from the US, it is open information now. Russians usually made some changes to everything stolen to make it bigger (only exception was Joe-1).