To a great degree the Internet and most successful websites already use open standards to connect with users, other sites, and web services like Google tracking or Adsense. Open standards let users sign into many sites using their Facebook or Google+ user name and password. This convenience makes websites and services more attractive to users.
No, there should not be open standards across the Internet and all websites. Although this makes the process more confusing, each person who puts their work on the Internet should have their own control over what kind of standards they want to put on the product. Forcing everyone to use the same standards discourages innovation. Ultimately, confusing standards are better for innovation.