The US military, and militaries in general, do not use weapons like the M82/M107 as sniper rifles very often. The M82/M107 in particular has a recoiling barrel (the entire 2.5' barrel slides back when shooting) and isn't a very precise weapon.
They're used for blowing up ordinance or disabling light vehicles. They are sometimes used for hostage situations because they're more likely to immediately disable someone.
The US military has pretty rarely used shoulder fired weapons, since they very rarely have to worry about tanks or aircraft. SEALs in particular wouldn't be doing that.