The fact that widescreen monitors have become the norm might be interpreted as pressure to make your website widescreen-friendly. If the current version of your website doesn't display well on a widescreen monitor, then you should really modify it as possible – i.e. before users start leaving your site due to poor usability design.
There isn't much empirical research yet about how users interact with widescreens and use them for browsing but sometimes it is just common sense to figure out that a site is a usability disaster when viewed on a widescreen.
On the other hand, your most important consideration if you should make your website widescreen-friendly or not is your audience and the resolutions they use. Widescreens might have become the norm but this doesn't necessarily mean your audience uses widescreens. If the majority of your visitors haven't switched to widescreens yet, then you don't have to hurry and redesign your site. However, if your users have adopted widescreens, Part 2 of these series will tell you more about what you should have in mind when redesigning your site for widescreen displays.