Dear Cruncher, I agree with Mr. Khadir's suggestion. It doesn't make any sense to let your boss know about your awareness of his ongoing search for your replacement. Rather, you can approach him with your own suggestions regarding sorting out any visible hurdles or issues in the path of the company's growth. No matter that you two have different business philosophies, don't forget that both of you are working for the same organization with common goals, i.e., its growth and betterment. Also, take the fact of "different business philosophies between you two" positively in a way that by combining both of your philosophies, you can bring a completely new philosophy that will be more meaningful, helpful, and powerful for your company's business. Additionally, both of you can't overlook the fact that regardless of your style of working, you have to work as per your company's laid standard policies, processes, and systems.
And then, you can't expect your boss to adapt to your ways; rather, you have to adapt to his ways.
Regards,
RR.