LTSpice provides incorrect bode plot
Good intuition that something is wrong. As soon as you see weird things in the AC response, you need to head back to TRANsient or DC to figure out what's going on. However, I did spot two things:


Your negative power supply is supplying +15V instead of -15V. Your circuit is basically unpowered as there is no voltage across the VDD/VSS pins of your op-amp. Either rotate V2 or make the value of V2 negative.
Don't connect two wires directly to the pin of a schematic symbol - it's hard to read and your CAD system might not make one of the three connections you're expecting it to.