I also agree with Varun...TBS is the better choice if you work with a PVDF membrane.. also you should be aware of the phosphate in the PBS which could interfere with the alkaline phosphatase!
We generally use TBS with tween20 for Western blotting and PBS with tritonX. If you're having trouble with high background you could try changing detergents?
Tris buffer pH can vary of one unit in within the temperatures used in Western (4 degrees in cold room 30 degrees in closed darkroom in the summer). The one pH unit change can affect weak antibody binding, especially when this change occurs at the washing steps, where the AB is diluted like a hell. If the AB has a low binding constant you can wash it. Phosphate buffers do not change the pH with the temperature significantly. The disadvantage of using PBST is that the microorganisms love growing there, thus make sure is freshly prepared or autoclaved