How to generate Red light from a Blue-Dominated Spectrum
Your "white" LED is actually a very bright blue LED combined with a phosphor that absorbs some of the blue light and re-emits it as the broad yellow peak you see in your spectrum.

While it would be theoretically possible to substitute a different phosphor that emits the red light you seek, I don't know of any commercial products that do this.

However, very bright red LEDs are readily available. They're used as the strobe lights on emergency vehicles, such as ambulances, fire engines, police cars (depending on your jurisdiction), etc.