Being in a similar boat I'll pass on my experience here. Others have already said that the names will not be printed so you don't have to worry about it.

When you go to interview, you should still bring your military log books with you in addition to your clean printed civilian one. When you turn them in, just let them know that all your military flights have been captured in your civilian book. Odds are they might check a couple of flights to make sure they match, but other than that they will look at the civilian book as that is what they are used to looking at.

Doing this will show that you care about your flight time and the way you keep your records. I personally would not do any conversion for military flight time to civilian as there is no official way of converting it. Some airlines allow for a conversion, but that is specific to that airline. With a rotor transition pilot, there really isn't much to be gained by trying to do one either.

Feel free to PM me as you work through your log book if you have specific questions on how to interpret some of the information we capture in the military logs into civilian logs.