Conducting a Precision Approach on a Non-Precision Runway - What are my limitations?
Your limitations are exactly the same regardless of runway -- you cannot descend below the published DH without the published flight visibility minimum and the visual references required by 91.175.

What the limited runway markings and lights change is the number of visual cues you have to be able to descend below MDA and land, which affects the likelihood of a successful approach in minimum weather.  Whether this is a disadvantage or not depends on the actual weather and your preparation.  If you know what lighting and markings are available (and you should), then you know what to look for.  If you are looking for lights that don't exist, you won't find them and worst case you may mis-identify other lights. 

The only other disadvantages I can think of relate to ground movement and ILS critical area protection.  If there are no centerline lights on the runway there probably aren't lighted runway turnoff lead lines either and extra care needs to be taken when taxiing.  If the runway is located at an non-towered field and the ILS critical area has a hold short line on the taxi way, it may not be protected properly.  This is mitigated, however, by taxiway placement which probably avoids the critical area at non-towered fields (not universally true though).