Broken window fallacy.
LOL. You apparently lack any understanding of the broken window "fallacy" at all.
Without trying to pull a Mitt, many of the poor are poor because they have shitty money management strategy and will just end up wasting the money, probably giving it to those corporations who you decried above.
The wage stagnation of the middle and lower classes has nothing at all to do with this, of course, and the fact that most can only afford to buy that which they helped produce on credit because credit is more readily available than wages. This is obviously the way it should be and it makes for a thriving economy. See: economy.
Trickle-down economics does have issues and has been abused and used to justify some truly crappy policies though. But in principle, it benefits nearly everyone to have money stay in the private sector than funnel it through the flaming-money-pits of government coffers.
Obviously, in principle, it does not because of how much influence extra "trickle-down" money can have over politicians, and this sway is almost unilaterally used to benefit those who have the money to influence, not the general population. The "flaming-money-pits of government coffers" is simply a step removed from the private sector as all government spending does reach the private sector, and it in effect redistributes the wealth more evenly across the population. It certainly is not the greatest way to do it, but it is the only countermeasure to the private control of money.