No.
And the reason is that society is not prepared to recognize that racial animus is a a compelling reason for refusing to serve a client as a public defender.
But society is prepared to recognize that abhorrence of abortion and abortion-related treatments is a reasonable basis for refusing to serve a particular client a particular medicine.
This is because abortion and race are different. I know you’d like for them to be the same, but they are not. They are spelled differently, sound different, and involve different things. Your response to that is to simply assert that they are the same anyway, but they are not.