Motorcycles in your bus lane

Unfixed. The London trials didn't deliver any evidence either way.

It did until political pressure from the LCC and CTC forced TFL to massage the evidence out.

http://www.telegraph.co.uk/motoring/road-safety/2750428/The-truth-about-bikes-and-bus-lanes.html

TfL created three trial routes on which "P2Ws" (powered two-wheelers) were allowed to use bus lanes, although one, on the A13, was later discounted because the figures were distorted by major roadworks. Results from the other two, on the A23 in south London and the A41 in north London, show major safety benefits to all "VRUs" (Vulnerable Road Users - ie pedestrians, cyclists and scooter/motorcycle riders). According to the report's executive summary, there was a net reduction in collisions involving P2Ws and pedestrians (46 per cent) or cyclists (44 per cent), plus a 45 per cent reduction in P2W casualties.
The evidence is especially clear after traffic migration is taken into account. The report shows that large numbers of motorcyclists changed their routes into London to take advantage of the trial bus lanes, with P2W traffic increasing on the experimental routes by between 25 and 40 per cent and falling by similar amounts on parallel roads that were monitored. Yet 24 months into the study period (extended from 18 to 36 months, with motorcycle groups claiming that this was sparked by the politically uncomfortable conclusions that were being reached), TfL changed its method of generating data to something called the Tanner Test. Even the report's own conclusion questions the validity of this test, which is generally considered to be an outdated statistical tool. It says: "What that [the Tanner] method cannot do is allow for any fluctuations in vehicle usage, and therefore cannot account for the impact of migration on the results to be used." Previously, the figures from the trial routes were being compared with parallel control routes where P2Ws were not allowed in bus lanes - and it's these more realistic, earlier figures that provide conclusive, positive evidence.

and

Crucially, the report also shows that cyclists did not abandon bus lanes through fear of motorcycles - which has always been the most common reason cited for denying bus-lane access to P2Ws. Indeed, the experimental bus lanes recorded increased cycle usage (on top of a growth in cycle usage across London generally over the trial period) as the following extract indicates: "The evidence from casualty and collision data shows that cyclists' concerns that their casualty rates would rise, and use of their mode would decline, were unfounded in practice... the safety records for cyclists significantly improved where the measure was deployed. Results also show that cycling rose on trial sites - despite the presence of P2W riders in bus lanes and a significantly above-average rise in P2W use of trial routes.

Of course even if you were correct, and there was no evidence either way, there is therefore no justification whatsoever for preventing motorcycles from using bus lanes.