Here's what I came up with as far as which stars are within a few decades at the speed of light.
http://www.atlasoftheuniverse.com/50lys.html
It's not insignificant, but it's only a tiny sliver of the galaxy. The galaxy is 100,000 light-years across. Unless dangerous ETs are extremely common, they won't even know about us for many human lifetimes.
I don't think we should give other civilizations too much credit. I'm assuming that what's technologically hard for us is also hard for them. And we've benefited from a lot of good fortune, so we're probably way ahead of the game.
I'm not a physicist, but what I take from physics is that Einstein's laws of relativity are extremely well-tested and sound. I can't see anything in relativity that is good news for star travel. The limit on speed is bad enough, but the more you approach the speed of light, the more you gain in mass and the harder it becomes to accelerate. As you approach your destination, you have to expend half the energy of the trip to slow down.
Star travel looks like one of the worst investments of resources you could possibly make. If ETs are smart, they probably long since realized this and invest their resources where there's a reasonable chance of return.