Bad idea. Remove flooring. Then install new floor. Should be about the same height. Most flooring finishes out 1/2"-3/4" ( except nail down wood flooring 1 1/2" ) don't forget, if necessary you can always go around cabinets with shoe mold or quarter round to hide imperfections.....no need to remove cabinets at all. Removing that tiles gonna be fun though. Invest in a good pair of gloves and a good floor scraper. .... Enjoy and good luck.