From NARAL:

A recent survey conducted by Lake Snell Perry Mermin & Associates confirmed that the
American public opposes blocking women’s access to birth control.
The question below was part of a comprehensive poll regarding reproductive health.
Half of the survey’s participants were asked the question of whether pharmacists
should be able to refuse to fill birth control prescriptions on either religious or moral
grounds. The slight change in wording did very little to change the fact that nearly eight
in 10 Americans oppose allowing pharmacists’ personal beliefs to interfere with or
inconvenience women who have prescriptions for birth control.
Should pharmacists who personally oppose birth control for religious reasons be
able to refuse to sell birth control pills to women who have a prescription for them,
or should pharmacists not be able to refuse to sell birth control pills?
Should be able to refuse ………………………..16
Should NOT be able to refuse……………….80
(Don’t know)………………………………………….4
A recent New York Times/CBS a poll conducted in November 2004 reveals similar
findings showing that eight in 10 Americans say pharmacists who personally oppose
birth control for religious reasons should not refuse to sell oral contraceptives to
women.