Hey Brad,
Don't worry, ich is easy to cure if you follow a few simple steps.
First off, to answer your question, no do not remove your plants or carbon they are not a part of the problem.
Most definitely do NOT touch or clean the bio wheel as this may disturb too much of the beneficial bacteria that have built up in that great little contraption.
The parasite that is "ich" cannot reproduce and survive in higher temps. 85 degrees F. or higher.
Once the little white cyst falls off the fish, if the temp is 85 or higher it will not survive its freeswimming stage and the parasite will not spread.
Here is what I do with ich... raise the temperature of your aquarium SLOWLY [2 degrees every hour] to 85 to 88 degrees F. Most freshwater tropicals do just fine in the 85 to 88 F. range.
I would stop using the product you are using especially if it contains meth. blue because you are stressing the bacterial load in the aquarium.
I would dose the tank with Aquarisol which is a copper based aquarium tonic that will wipe out the ich parasite in a matter of days in conjunction with the higher temp.
I would also use aquarium salt for freshwater aquariums NOT table or marine salt ..dose according to the package..
The only reason not to use salt is if you have Cory cats or other "salt sensitive" fish. IF you do have such fish..skip the salt.
Finally, I would say that the way to avoid ich in the future is keeping up with your regular weekly 20 percent water changes and not allowing your temperature to drop suddenly or fluctuate downwards..
Good luck and save your plants!