Collision Coverage:
All the states in US coverage for damage to non-owned vehicles are under liability coverage. It is essential to have either collision coverage for your own auto or you need to cover under liability coverage. Driving motorcycle be assure that you need to have collision coverage so that in case accident take place, you need to have enough coverage. The insurance company gives damages, less deductible, incase when you crash with another vehicle or object.
Comprehensive coverage:
The comprehensive covers damage of your motorcycle by various items or perils covered under the policy as a result of accident, theft and fire and windscreen damage while the third party fire and theft covers damage to your motorcycle as a result of fire or theft and covers for third party damage if you have an accident. The comprehensive cover also includes personal accident, injury, and death of policyholder, medical expenses, and personal effects. In comprehensive coverage in case your motorcycle hit by animal, catches on fire, stolen etc. will cover under comprehensive coverage
I think combination of both the insurance will give you complete protection against motorcycle owner, damages of motorcycle and the third party coverage.