oh....no, don't do that -- you should be able to get some affordable bars and a threadless stem that will suit.
Are you sure the bars are integrated with the quill stem?
old (quill) stems are the one-piece "goose neck" thingies that attach to the inside of a fork steerer. Threadless stems (new style) clamp to the outside of the fork steerer. You need a threadless stem and bars to match. Just about every new stem on the market will fit your 1"1/8 steerer, and the bar diameter will either be 26.0mm (most common), or 31.8 (slightly less common and usually more expensive).