Run your lines cross wind. For that mater learn to run your lines in every direction so when you get to new area to kite you don't drag your lines over other kites.
If you get tangles because you can't work out how your to rig your kite then pratice first point.
Just because the local crowd all rig lines down wind does not stop issues of getting lines hooked up on other kites. If everyone rigs cross wind THEN you dont get lines tangled. I hate it when I see someone doing the bunny hop on the beach tying to get his lines over all the kites.
Remember with todays kites it's so important not to drag the lines across the beach as they may pick up sticks or get a tangled bridle and that can led to a bad launch.
Stop following the pack mentality.

But in saying this their are places that can only allow lines layed in a direction due to space.