All digital cameras are sensitive to IR. Some are just more sensitive than others.The sensor has to be sensitive to the infrared end of the light spectrum. Most Digital Camera's have an IR filter to cut out that portion.
Some Digital Camera's filters cut less than others.
I think Infrared Film still is better, as it is specifically designed to capture that wavelength of light.
I believe Kodak has stopped making IR film, you might try freestyle to see what they are carrying.
And i would agree film certainly has a different look