Here are two links to prove that outer space can get pretty hot without really close stars.
http://phys.org/news4521.html (3rd paragraph)
http://thunderbolts.info/tpod/2010/arch10/100104proplyds.htm (5th paragraph)
From the 3rd paragraph of your first link:
The Trapezium is a star cluster consisting of more than 1,000 young, hot stars that are only 1 million years old. They condensed out of the original cold, dark cloud of gas that now glows from their ionizing light. They are crowded into a space about 4 light-years in diameter, the same as the distance between the Sun and Proxima Centauri, the next closest star in space.
A thousand hot stars in a 4 light year sphere. What's your definition of 'really close'?
From the second link: (thunderbolts.info? Seems to be an Electric Universe crank site
In other words, in the heart of the nebula, stellar winds cause “shock waves” to raise the temperature in the environment to millions of degrees.
The Orion Nebula cluster is about 20 light years across, and contains about 2000 stars and dense gas clouds.
Again, your definition of 'really close'?