Not right. The concept of "herd immunity" breaks up the potential for massive, wide scale outbreaks. If everyone was un-vaccinated, or even most of us, diseases could easily travel through entire communities, jumping from one to another.
If the majority of people are vaccinated, it is harder for diseases to establish these links and become epidemic.
On top of this, a human host to a virus or disease can provided a wonderful environment for growth and mutation. If a previous vaccinated disease lingers in a carrier for long enough, it could evolve and eventually bypass any current medicine.
PS: I am not telling anyone what to do. Just describing why vaccinated people can still be at risk due to un-vaccinated transmitters.