You guys are way too clever for your own good
What do you think pressure from congress will accomplish? It is congress that is responsible for this mess. They are entrusted with working out the appropriation of the government's revenues. They have, very deliberately, channelled processing fees paid to the INS by applicants like us here to fund enforcement functions, and not processing functions. Having created the problem, they are attempting now to milk the situation like a gang of carpetbaggers by introducing 'premium processing'. To rub salt in our wounds, they constantly impose their pet processing priorities on the service from time to time thus forcing INS to reshuffle constantly the few resources that are available for I-485 adjudication functions.
There are two takes on this; that the INS is an organization of people that just while away their time at work and thus make folks like us wait interminably. Alternately one can think that the INS adjudicators perform, sometimes not very efficiently, their jobs like any average government employee out there.
I believe the reality resembles the latter more. There are too few adjudicators to do the job efficiently, and those there are, are constantly being reshuffled because of changing regulations and procedures, again as a result of congress's wishes.
Somehow, there seems to be the impression among the posters here that the employees of the service are the villains and the elected officials are the knights that will come to our rescue. This is far from the truth. No doubt, INS has its share of bungling bureaucrats, but they have been entrusted with an ill-defined job and have not been provided the resources to do it.
Let us say the strategy works - that a powerful congressman intervenes to speed up the processing of our cases. Is that going to come as a result of increased efficiency and throughput? I think not; it is more likely to come at a cost to other waiters like us because of yet another reshuffling of the adjudicators by the NSC management to accommodate the congressman's desire. On balance, the aggregate cost is only going to be higher than the benefit as the additional training requirements will decrease throughput and reduce efficiency.
If enough senators/congressmen are approached with the proposed missive, there maybe one good unintended consequence though - that of shining a light on funding shenanigans of congress and thus shaming them into remedying the situation by removing the cross-subsidization of enforcement functions (and of other government departments) at the expense of processing.