There will likely be some compromise because that's how the whole democracy-not-dictatorship thing works.
But to "unrecognizable or outright shelving," no, I don't think so. Especially not "outright shelving," since "unrecognizable" is a bit subjective.
Lots of reasons.
For, one, and I am exercising considerable restraint in keeping large font size and loud colors out of this, Obama has already gotten a hell of a lot of stuff done.
For another, where there has been major compromise, it's usually been for an important reason. For example, merely the threat
of default sent the markets tumbling and freaked out the economy. Actual default likely would have been much, much worse. It's to the Republicans' extreme discredit that they held the economy hostage, but they did. Since Obama was the adult in that situation, he eked out an agreement that gave up a lot but also gained a lot, and most importantly -- and that's not insignificant -- avoided default.
The jobs bill doesn't have that kind of doomsday scenario behind it. And it's something he's pushing hard. There aren't that many things he pushes from the beginning, and when there is one, it tends to be the kind of thing that gets pushed through to completion. And, again, he's done a hell of a lot of that, in extremely difficult circumstances.