Question: As light is electromagnetic radiation. Then why I don't see any magnet bending light wave? Or why light doesn't diffract whenever it passes by a live wire?

Answer: 
Electromagnetic fields simply superpose. They don’t interact with each other. (I am ignoring quantum effects at *enormous* field strengths.) Two waves go right through each other. A wave goes right through a static field.

Electromagnetic fields interact with *charges*. No charge, no interaction.
In classical physics, electromagnetic fields and waves are additive so nothing can happen in vacuum between electromagnetic fields. They don't see each other.

In quantum physics, photons theoretically DO interact. The effect is rather small even in high-energy experiments, so don't expect some visible distortion with visible light and an iron magnet.

<https://en.wikipedia.org/wiki/Two-photon_physics>