I want to build a vanity counter out of poplar, with an under-mount bathroom sink. I'l picturing a butcher-block type look, but I want to basically flip a bunch of 1 X 2 poplar strips so their narrow 3/4" edge is up, and glue the 1.5" faces together. Is this going to work?

My brother, who builds museum quality furniture, tells me it's a bad idea because the wood will shift and cracks will develop. I don't mind keeping it oiled or applying Waterlox or something to it frequently. Please help. Is there a tried and true method for this or should I give up?