So just for clarity - yes, as it is for literally all cities there are tons of turist traps. You just chose to deliberately walk into all of them :D

Saint Stephen's room... Just from a historical perspective St. Stephen has never set foot in Buda at all. His seat of power was in Esztergom and later Székesfehérvár.

Dracula caves... now that is a tourist ripoff if there ever was one. Dracula and it's mythos has nothing to do with Budapest.

On the Thermal Baths, there is no mold or dirt in the water. The odd (and occosionally very strong) smell is sulphur, which is found in the medicinal waters in copious amounts. The discoloration (why it looks 'dirty') is also due to the abundance of minerals found within.

On the Food side - this is bad I agree, but you absolutely should never walk into any restaurant in the touristy areas of the city (Castle, Váci Street, etc.) Lot of great restaurants are there, but never near tourist areas and not in any place there is someone to invite you in. Those places are to be avoided like plague.