Immigration Strike/ Protest/ What?

With the debate on immigration and illegal immigrants (aka undocumented aliens) and their right to citizenship in the united states, I just have one question... What?

I understand the debate, I see both sides, and here I sit in the middle somewhere not taking a strong stance to either side. However... that is not what I am wondering "what?" about. My question is if you are going to take a stand, can you just take one?

Let me detail. A few weeks back, all across america people marched in major cities to show that they did not agree with congress' discussion on sending all illegal immigrants back home. They wanted to show that immigrants are an important part of our country and that they need to be treated as people. Well to commentate from me, no argument there. Many people immigrate to this country every day for differing reasons and some do so illegally (or again, undocumented) as the process of immigrating is not an easy or inexpensive one. I am not making a judgement call on whether the people who have entered the united states without the "proper documentation" are right or wrong, instead I am just stating that it happens.

This march was very effective in getting the issue to the forefront of every news show, every newspaper and in the minds of everyone across the country. That is, everyone who is not worried about Tom Cruise and Katie (I'm sorry, Kate now?) Holmes starring in a movie together and will this effectively ruin their marriage. Therefore, they (who are they anyways? the organizers of the march?) decided to stage an immigrant strike. Prove to the americans that immigrants are important to the economy and that we can't send them back to their home countries. So May 1st, every immigrant (legal and illegal?) planned to not go to work, school, and not do any shopping. Thus showing everyone else that immigrants are important to society.

Now here comes the confusion, and I'm not talking about whether this is supported and which groups are telling people to do so and which are saying don't or if they gave congress enough time after the march to choose to escallate the protests, etc. Nope, none of that is my confusion. I am confused in that this is a country founded on immigration. Who are we talking about when we say that this is a protest by all immigrants. Unless you are a native american indian, I think you shouldn't be working, learning, or shopping today. I thought the debate was about illegal immigrants and whether we should offer them ways to get citizinship or whether the government should round them up and send them back to their home countries. I thought the people who immigrated legally were not up for discussion at this point. My understanding is that here in america we understand that we need these people to fill the jobs they are filling as we have given them a work visa to do so? Or maybe this issue has been confused by too many people wanting to utilize this platform to push an agenda. Even when those who planned this boycott (all of those, 3 or 4 major groups across the country) specifically said in today's news that is not the case and that they care most about the immigrants rights.