a discussion of sanity is a bit useless in a forum where people own thousands of miniatures....
as to Your force - what is the scale? it appears to be 15mm?
anyway, let's start with the setting - I read a lot of the word "Algeria", here is a useful link
http://en.wikipedia.org/wiki/French_Algeriaby 1848 there wasn't much organised resistance apart from a few uprisings, nothing like an "emir's force" (different in Morocco).
Also no "assigned" troops, the french recruited zouaves and spahis right from the start, tirailleurs algeriens later. I assume that is what You mean by Your "tirailleurs" units?
Also, the machine guns must be mitrailleuses by the time setting?.
Then - no foreign legion cavalry before 1920 (the mounted units in Mexico were a local improvisation)
Then - no navy units in Algeria - it was an army dominion until 1871.
Chasseurs can be only the infamous BILA or Bat d'Af, at least I can't recall any
and so on - just a rough impression
which only means that Your collection is obviously meant to represent a fantasy foreign legion in a non-historical setting
and that is perfectly fine.
The composition appears to represent some mid 19th C big batallion doctrine, with light infantry added - quite obsolete after 1871, even more so in Algeria without set piece battles.
Leaving only a big question mark to me - what do You want to do with them? unless....
it is a glourious alternative time setting when te 2nd empire persists after 1870 (meaning that they managed to beat the german confederation - the machineguns perhaps?), but the effort left the oppressed Algerians free to set up a large revolt unifiying northwestern Africa against the opressors, in the following rejuvenating muslim dominance in the mediterranean as the Ottoman empire starts a secret alliance with Prussia, which in turn antagonizes the Habsburg monarchy, with the Russian empire trying to get a foothold in the grand european game. or so....
Maybe Britain then takes sides with her old ally in Berlin and Hannover, against the frog and garlic sausage eating arch-enemy? Who knows?
But this can only lead into a face-off as the franco-american alliance (forged when Napoleon III decided to take sides in the ACW, crushed the mexican republicans and the USA, thus helping forge the CSA, including the mexican states, but renouncing the New England states to Britain) attempts to win the race over maritime control and the access to the colonies against Britain and her allies (Turkey and Prussia) - the Suez canal is never built and the Great War starts 1888, right after France introduces the smokeless powder cartridge in the lebel rifle and the famous mitrailleuse H-H, the first recoil operated repeater gun which Hotchkiss produced for the french army after a patent by Hiram Maxim, an american inventor who emigrated to France after being declined British naturalization due to the then ruling animosity against US-americans...
well, whatever floats Your boat