Can you back these statements up with some reliable data?
Sure:
http://john-s-allen.com/research/berlin_1987/index.html
http://www.bicyclinglife.com/Library/Moritz1.htm
http://www.ncbi.nlm.nih.gov/pubmed/9542542#
http://www.sciencedirect.com/science/article/pii/S0001457599000287
http://www.cyclecraft.co.uk/digest/2decades.html
http://www.cyclecraft.co.uk/digest/research.html
http://www.bicyclinglife.com/Library/Accident-Study.pdf
http://etcproceedings.org/paper/the-roots-of-driver-behaviour-towards-cyclists
http://www.trafitec.dk/pub/bicycle tracks and lanes.pdf
http://vbn.aau.dk/files/14344951/agerholm_et_al._bicycle_paths.pdf
http://www.ncbi.nlm.nih.gov/pubmed/19433206
http://www.ctc.org.uk/resources/Campaigns/1111_TRL_PPR580-Cycle-infra-safety_rpt.pdf
http://www.ncbi.nlm.nih.gov/pubmed/19845962
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3064866/?tool=pubmed
http://www.trl.co.uk/online_store/r.../report_infrastructure_and_cyclist_safety.htm
1987 Grüne Radler review: Police Bicycle Crash Study (Berlin, Germany)
"...with increasing experience, it became ever clearer that the sidepaths are dangerous - more dangerous than riding in the roadway. There is a simple reason for this: the design and location of the sidepaths conflict with the most important principle of traffic safety, the slogan 'Visibility is safety'."
1997 Moritz: A Survey of North American Bicycle Commuters (USA and Canada)
Measurement bias: study claims increased safety on bicycle specific infrastructure, but the accident site data appears to be flawed - many of the accidents taking place while on bicycle paths or lanes were considered to be on the roadway because only the final crash site was considered.
1998 Aultman-Hall: Commuter Cyclist On- and Off-Road Incident Rates (Ottawa-Carlton, Canada)
"The relative rates for falls and injuries suggest it is safest to cycle on-road followed by off-road paths and trails, and finally least safe on sidewalks... Results suggest a need to discourage sidewalk cycling, and to further investigate the safety of off-road paths/trails."
1999 Aultman-Hall: Bicycle Commuter Safety Rates (Toronto, Canada)
"The relative rates for falls and injuries suggest these events are least common on-road followed by off-road paths, and finally most common on sidewalks... These rates suggest a need for detailed analysis of sidewalk and off-road path bicycle safety."
1999 Franklin: Two Decades of the Redway Cycle Paths (Milton Keynes, UK)
"...the most alarming experience of the Redways is their accident record. Far from realising gains in safety, they have proved over many years to be consistently less safe than even the 'worst case' grid roads for adult cyclists of average competence. This is not an accolade for the grid roads, for their safety performance is not good in relation to lower speed roads of more traditional design. But the segregated Redways have proved to be worse. "
2001 Wachtel: Risk Factors for Bicycle-Motor Vehicle Collisions at Intersections (Palo Alto, California, USA)
"Bicyclists on a sidewalk or bicycle path incur greater risk than those on the roadway (on average 1.8 times as great), most likely because of blind conflicts at intersections... intersections, construed broadly, are the major point of conflict between bicycles and motor vehicles. Separation of bicycles and motor vehicles leads to blind conflicts at these intersections."
2007 Jensen: Bicycle Tracks and Lanes, a Before - After Study (Copenhagen, Denmark)
"The safety effects of bicycle tracks in urban areas are an increase of about 10 percent in both crashes and injuries. The safety effects of bicycle lanes in urban areas are an increase of 5 percent in crashes and 15 percent in injuries. Bicyclists’ safety has worsened on roads where bicycle facilities have been implemented."
2008 Agerholm: Traffic Safety on Bicycle Paths (Western Denmark)
"the main results are that bicycle paths impair traffic safety and this is mainly due to more accidents at intersections."
2009 Daniels: Injury crashes with bicyclists at roundabouts (Flanders, Belgium)
"Regarding all injury crashes with bicyclists, roundabouts with cycle lanes appear to perform significantly worse compared to... other design types"
2009 Reynolds: The Impact of Transportation Infrastructure on Bicycling Injuries and Crashes: A Review of the Literature
Cherry picking data: review claims increased safety on bicycle specific infrastructure, but the review cherry picks and misrepresents data - only the 2009 Daniels study (out of 26 studies reviewed) concerned bicycle specific infrastructure safety, and the review misrepresented its findings.
2011 Lusk: Risk of Injury for Bicycling on Cycle Tracks Versus in the Street (Montreal, Canada)
Selection bias: study claims increased safety on bicycle specific infrastructure, but its street comparisons are flawed - the streets compared were in no way similar other than their general geographic location. Busy downtown streets with multiple distractions per block were twinned with bicycle tracks on quieter roads with fewer intersections and fewer distractions.
2011 Reid: Infrastructure and Cyclist Safety (UK)
"...evidence suggests that the points at which segregated networks intersect with highways offer heightened risk, potentially of sufficient magnitude to offset the safety benefits of removing cyclists from contact with vehicles in other locations."
John Franklin also has a more extensive list available here, without direct quotes but with his commentary:
http://www.cyclecraft.co.uk/digest/research.html
Also:
http://labreform.org/blunders/index.html
http://bicyclesafe.com/
http://www.kenkifer.com/bikepages/health/risks.htm