Any time you have questions about a specific brand or brand interactions, your best bet is to contact the company directly. I could not find the name of the company that makes Conceptrol but it should be listed on the box somewhere.
I visited the KY website and read through the FAQs but the topic of combining their products with spermicidal ones was not mentioned. I submitted the question but have no idea how long it will be before I receive a response.
Everything I read on Conceptrol says to use it with latex condoms or alone so I suggest you err on the side of caution and do not use it with the KY products until you find a more definitive answer.