Those who are agitated in the mind, they will hear neither Krishna Conscious philosophy nor Christian philosophy. So to make the mind smoother, you should chant Hare Krishna nicely, not to do it by changing the philosophical topics. The chanting will work. When there is no possibility of talking philosophy, we should simply chant, nothing more. Don't talk anything. That will help both the singer and the audience. Your little speech is very nice. Caitanya Mahaprabhu also said there is millions of Names of God, and one can chant any one of them he prefers. We chant Hare Krishna because Lord Caitanya also chanted Hare Krishna. We recommend to chant any Name of God, but we prefer to chant the Holy Name of God, Krishna, following the Footprints of Lord Caitanya.
The ignorant people they do not understand either Christian philosophy or Hindu philosophy. If somebody makes distinction between Hindu or Christian philosophy, he is not a philosopher. He can not say the sun is the Indian sun because it shines in India, or it's the American sun because it shines in America. But actually the sun is the same sun. Similarly, God is the same either for Hindus or Christians; one who does not understand it does not understand God. The Christian philosophy says God is great, we say how God is great. Simply to know that God is great is not perfection, but to know how He is great is perfect knowledge.