According to this article, illegal immigrants will be allowed to purchase health insurance under the House's version of Obamacare. They won't be able to get subsidized by our tax dollars, though.
Now, I wouldn't have a problem with someone purchasing health insurance with their own money no matter who they are, but these people are here illegally! Just by being in the country they are breaking the law. Therefore, they are criminals! Now, it might simply be that the bill doesn't require someone to prove their citizenship in order to get insurance. So, the issue isn't simple.
But what is simple is this, illegal immigrants are here illegally. They are breaking the law, and therefore should be punished. If they really want to be here in America, they should enter legally. If the USA's legal immigration policies make it to hard for people, who we want in our country, to immigrate, then we should reform the the policies. But until we reform them, we need to enforce the current law.
So, to help them, for now we should enforce the current laws, while working to make the laws better. This would create a better overall system that help the immigrants that need it, without them needing to break the law.