I am a former head director, now an assistant, and I have worked under two completely different head directors.

What I have found is this:

#1. Are your 'philosophies' really defined and understood by each party? No matter whether it will be 100% what you want, are you willing to compromise and come to a consensus with your staff to hold each other accountable?

You don't have to align fully, and it is sometimes healthy to have a balance of differing approaches, BUT it is crucial that you all come to a clear consensus on what that all looks like.

#2. If you are not willing to compromise or continue to meet at these crossroads and disagree, it will spread to the kids, and it will hurt your band's culture. This was the case for me, and I left and found a job where my head director and I just worked better together. We are not the exact same, but we communicated well before the start of the year and worked out a plan that we both agreed on in terms of what is black and white, and also what we ought to do in the many gray areas of our program.

This is YOUR program and YOUR staff. If things are not working out, especially in professional beliefs and principles, changes should be made... whether that is staff changes or changing each of your "philosophies."