Did Linkin Park do a remake of Headstrong?

No. Linkin Park never sang "Headstrong". That is a big misconception. Many people still think that Linkin Park did a cover of Trapt's Headstrong. They did not. What you may hear on YouTube and other places is actually Trapt's demo version, the one before the final version on their debut album. You will not find the song on any of Linkin Park's albums, a video of Linkin Park actually singing the song or a statement on any OFFICIAL Linkin Park website saying that they've done a cover. That alone should be proof to anyone that they have not done a cover of the song.