The illegal demonstrators are counting on the fact that their demonstrations will will force both parties to cave and give in to their demands.
And if both parties cave what happens to America? Who is the biggest loser?
I remember the marches here in my small town just before prop 187 was passed to try to halt illegal immigration by cutting benefits to illegals.
The marches scared the pants off a lot of voters, and put Prop 187 over the top.
I think seeing all those people demanding/protesting and some waving Mexican flags is counterproductive in the same way. It may influence the law makers but it is scaring the voters.