Should I repair noisy sway bar links and sway bar bushings?

Yes, you should. The car will start to wobble, almost uncontrolably, when going round bends on turning into side streets, especially ones with a camber.

At first it's not so bad and is just noisy and irritating, but eventually they will bang and knock loudly and could come free if left. But the main worry for me is the handling. As a taxi the bushings go regularly here because having passengers in the back puts stress on them, especially when turning into side streets as described above. The entrance to my local hospital is like that and I remember in other cars where I'd left the bushes too far past their sell by date that the car would rock back and forth quite alarmingly.

So back to your question. Yes, you should.

 

I just replaced the sway bar end links on my 2005. This is not a difficult job. They cost $10 - $30 each from Rockauto and are easy to get to behind the front brake discs. You may need a good pair of vice grips to hold the back of the stud stationary while you remove the nut. Mine were rusty and took a little effort to get the nut off. If the stud is not too rusty, a hex wrench in the end of the stud will hold it while you turn the nut. Some penetrating oil helped.

The sway bar bushings are more difficult to change and are probably not not the main problem, so do the end links first.

 

Aside from the obvious safety reasons, bushings wear out faster, the more they wear.
Best to nip it in the bud.

 

buy a 12mm wrench, some jack stands and diy. you'll save money even after buying the tools. the links would have been an easy diy too, but oh well.