Nope, won't work. Snipers don't have access to the Lt. Plasma. They can have the sniper rifle for nothing, the laser sniper for 250, or the plasma sniper for 1000.
You could get your same point total using laser snipers instead but they're a trade off. On one hand, they have 1 higher base damage and 2 higher crit. On the other, no aim bonus.
If you dropped off all of the skeleton armors and one of the snipers, you could have a four man marksman squad with plasma sniper rifles (9dmg, 13crit) and scopes for 8200, leaving 1800 to buy a couple of aliens or another kitted out soldier (but not another sniper as they cost 2050 ea.). Its a much heavier tradeoff and I'm not sure that ones worth it.
The laser one might be, though.
Of course, soldiers don't stand too much of a chance against certain OP aliens like the chryssalid, sectoid commander, or even the thin men. The last die easy but while you're wasting time getting rid of it and being poisoned for the rest of the match, the rest of the enemy moves to murder. Still, doesn't compare to the doubling power of the instant killing others. Chrys runs up, noms, now has zombie right away...and with their speed on the small multiplayer maps, no less. SC mind controls, friggin disappears, and now has your best guy wandering about outside of cover into perfect 100% aim flanks. So it looks like the best teams are ones that incorporate aliens to some effect.