Labour theory of value is not in anyway at odds with the idea of supply and demand. In fact, the whole idea of value in Kapital is derived from supply and demand.
The labour theory of value states that the inherent value of a commodity is directly related to the combination of labour and cost of the machinery needed to produce the commodity. This is what acts as the foundation for the value that the market assigns to the commodities. The market value doesn't just appear out of thin air, it's rooted in material costs of production.
To put it bluntly, you have an infantile understanding of the subject you're attempting to debate here.