Bad idea. Period. We are not called to date people to call them into the faith.
Lets say you have get married and have kids. How can this man be the spiritual head of your household when he simple 'isn't bothered' by your faith? How can he be an example for your children? How do you explain to your children how important you faith is, and at the same time try to tell them why daddy doesn't pray with them or read his bible, yet you still married him, instead of someone who prays and reads their bible?
Also, if he doesn't even have a biblical or Godly foundation in his life what's to prevent him from becoming involved in other worldly ventures?