I've done that with cloth tape then applied over the rubber strips. I've also used the rubber strips as a wrap and then used hockey tape over that when I wanted a cloth tape. Another thing you can do is cut the inner tube into long segments of tube, turn it inside out to get rid of the molding seams and then slip it over the handlebar. You most likely will need to lubricate the inside of the inner tube with bit of soap and water. I put one long section of inner tube onto the bar and work it up to the top of the bar and beside the the reinforcing ferrule of the handlebar. Then I position the brake levers and trim any of the first section of inner tube that's needed. Once the brake levers are positioned I add the second length of inverted inner tube to t he lower portion of the handlebar and finish that with whatever I'm wrapping the handlebar with - usually hockey tape.

Cheers