I would not use a male midwife or a male OB, I try not to see a male doc of any kind (okay, eye dr. or dentist is fine) because we are talking about my body. If you don't share the same body parts, I don't want to hear it.
I would however hire a midwife or doula who had not given birth. I think there are some very special women who are called to that line of work before having children or who are barren who do an EXCELLENT job at what they do. I mean, some of the best doulas I know have had c-sections, not the vaginal birth they are being hired to support. I also think that they can sometimes be better doulas/midwives because they are not hampered by the demands of children at home. Two of my favorite midwives in town and two of the most respected have been childless. I would not have found my pathway (being a birth advocate, professional and supporter) had I not had my children, but for those women who find it without that, I think is very very special.
On the other hand, men that have a passion for looking at women's yonis all day (thank you whoever started that word here, that's awesome) creep me out. I don't understand why a man would want to do that. But I do deeply respect men like Marsden Wagner, Michel Odont, and Dick Grantley Read. I have always said if I had a breach baby, I would fly to france and have my baby in a big glass tub with Odont, so I guess I would have a man as long he didn't touch me.