I use both, and both work fine together.
One, a Bluetooth Logitech DiNovo Edge keyboard, which includes a built-in mouse. I have used this keyboard since it first appeared on the market without problems.
Two, I use a RF Dell Gryration mouse for most functions, 90 % of the time I use an HTPC. My monitor being a 50 inch LG LCD can be controlled without wires, and from up to 10 M away from the PC.
Sometimes, due to sheer convenience, I only use the DiNovo Edge keyboard: Typing long documents, for example.
As wisely mentioned above, Bluetooth is a communication standard, more recognized in Europe than in North America. Yes, you can add more devices ( Printers, cameras, cellphones, hands-free earpieces, home phones, etc. ) and yes, you can distingush more features such as improved stereo, or security enhancements such as device passwords, as needed.
RF is not quite at that level, as yet.