I'm looking to finish the back of a cabinet cheaply while maintaining a wood look on it, it's to be a kitchen island with a butcher block top. The back of the cabinet is unfinished MDF.

I was thinking for simplicity I could use wood flooring pieces like this to finish it and just add corner trims, but wondering how I could glue it down to the back. Wood glue is probably out, but would liquid nails work?