It has become my conclusion that all the laws commanded by God in the Old Testament were given to address some issue that was present in the society at the time (e.g. the laws of cleansing - to prevent spread of disease... and probably remove body odour for when the priests went into minister). The law about no cross-dressing is probably due to some people engaging in (or attempting to engage in) same sex relationship. Does it still apply today? If people cross-dress to attract others of the same sex then... probably.
As for wearing sarongs (or sulu if you're in Fiji... where I got mine) they are handy (and comfortable) for wearing around the house and in the back yard where there is possibility of neighbours becoming offended but it's probably not something that it would be socially normal to wear down the street within my society. Pity though... I even got a pocket sulu (as well) that the Fiji business men wear in Suva but it'd show the dirt bad if I were wearing it while working around in the back yard. Here in Oz some male nudists (oh... female also) wear them in transit from beach to car rather than putting their togs or clothes on. I don't know if it would be normal for a non-islander male to wear a sulu or sarong in Fiji or Indonesia. I don't recall seeing any doing so the few times I've been to the Pacific Islands. I would like to get a kilt in my clan tartan but they can get expensive and I've only seen one person actually wearing one here in public... at ballroom dancing, actually... other than at Highland Games or in a Scottish Marching Band (that my cousin played in).