I don't think you are either lame or over cautious. You CAN mix and match, but I will never do it. Replace it with a matching Bridgestone. If the dealer doesn't have one buy one from Dennis Kirk or Chaperelle and have the dealer install it. And get a new tube that is compatible with a BT45 while you are at it. It won't cost you any more and you will know you have a set of tires that were designed to be ridden together.
Monte