I don't think they conflict -- the ANO explicitly says JAR-FCL 1.175 applies.
But the wording of JAR-FCL 1.175(b) is open to a lot of interpretation. The UK is clearly a member state in which flight in accordance with IFR is required under specified circumstances (at night). Thus within the UK (at any time, not just at night) "the holder of a pilot licence may fly under IFR, provided that pilot holds a qualification appropriate to the circumstances, airspace and flight conditions in which the flight is conducted". So then you have to argue about what "appropriate" means.