ok,,,as a thompson owner (the semi one) the sights,,,,,,SUCK!
(fwiw,,,,I have looked and looked at the AR uppers,,,,but wanted one in 45,,,,,,and just was not satisfied with most of the options,,,,,then the thompson showed up used,,,,,and at a price you go,,,oh why not,,,,,)
when I picked up mine,,,,ran out to the gravel pit,,,,,,and couldnt hit a pop can at 20 feet with the as is sights,,,,,,,
well back to the house,,,the fit throwing process,a few beers,,,,,,stare at it,,,going I spent HOW much money on the this boat anchor!,,,,,anyway it took a week to settle down,,,,,,,
then I got thinking looking, looking and thinking,,,,,first off the rear sight assembly came off,(red locktite,warm the screws),,,,then a dupe shroud got made, then in the center,,,,,a williams peep got installed,,,then off to shoot it again,,,,,,
ok better sight picture,,,,hey I can hit a pop can,,,,but I had an occassional sound of the bullet whining and missing what I was aiming at,,,,,,a close look at the cutts on the end,,,,,,rub marks,,,,,,,ho kay,,,,,,took it off and machined off the cutts,(amazing how heavy that chunk is, and it does feel less barrel heavy with it off),,,and now its more like a M1 thompson style front sight,,,,,,then on the belt to take it down to more eye pleasing size and conture,,,,,,
back out ,,,,you have to use the front sight for windage too, for when you are looking down through the charging handle,,,,,you have to find a balance of the front sight, and rear windage for a decent sight pic through the charging handle then you locktite everything down when you figure out what your doing,,,,,,with the charging handle there its like sighting down a channel,,,,,your eyes just center it all up,,pretty quick and easy once you shoot it a while
now with that done,,,,,,,this thing is a blast, shots at over 150yds, are easy off hand,,,minute of pop can on a pit wall,,,,,,
now, as to a mount,,,,,take a look at brownells piccitinny rail blanks they sell,,,,,mill it down and drill and tap the top of the thompson (I would look at forward of the charging handle),,then you can put anything you want on it,,,,,,but dang that thing is heavy enough with out putting more on the top,,,,,,,
but for a range toy,,,,,,,,it is fun,,,,,,,,
oh yeah also,,,,,be careful of smacking the charging handle open handed like in the movies,,,,,,it will rip flesh better than fresh barbwire can,,,,
best regards