Opposing feminism and supporting the death penalty are indefensible. Supporting religious influence in society and opposing the aspects of Islam he opposes would each be somewhat defensible individually, but taken together they aren't.
It should always be unacceptable for someone not to be a feminist. You're either a sexist piece of sh!t or you aren't. It's that simple. Saying that you oppose feminism, but aren't a misogynist is like saying "I'm not a racist, I just believe that African-Americans shouldn't have the same rights as white people because the former are inherently inferior to the latter." Opposing feminism literally means that you do not think men and women should have equal rights.
I am not a feminist because I do not think of gender relations primarily in terms of rights. It doesn't mean I think anyone is superior or inferior.