It sounds like the problem is with the repairer, not the insurer. It is common to wait up to 1 to 3 months to get genuine replacement parts, which is what they'll be told to do ("restore the bike to the condition it was in prior to the accident"). However you have already been waiting longer than that.
Why don't you contact the repair agent, and ask them what the hold up is? If they are waiting on part "X" and you say you're prepared to have third party components then perhaps you can speed it along.
Failing that, you could contact the insurer and say that you have been waiting an unreasonable period of time for the repair and you want the bike written off so you can go and buy another.
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