I had an Epi LP for years, my first guitar, and it was made years ago when they were IMHO better than they are now
I have used it for hundreds of gigs and really know how it plays, and what it's limitations are.... now in my opinion all the MIK Tokais I have had in the shop wipe the floor with it!!! Even after I put a set of Bareknuckles into my Epi it is still NOT a good guitar.
I have a couple of LC53s and they are really nice! The binding is nicely done, perhaps not perfect, but I've seen worse for more money!! The pickups are better than the Epi stock pups and have a more powerful, darker tone... which may not necessarily be your cup of tea though!
I also have a LS50Q which has a gorgeous look and is very well finished. The sound of this is brighter, the pickups are different and sound more "Standard" rather than the deep, aggressive growl of the Custom models.
MIK Tokai stuff is very good... IMHO far better than Epi no contest... One alternative to watch is the new stuff out by Vintage... the Vintage "Advance" gear is very very good, brand new on the market... as with everything though it is subjective!