Are preliminary injunctions against federal regulatory bodies commonly granted?

Factual Questions
1

A bit of background: In short, the latest bill to ensure network neutrality has been shelved, and now the FCC is considering unilaterally reclassifying ISPs from information providers to common carriers.

The posturing is already starting by the CLECs, and if the ruling is issued I can see the lawsuits flying.

My question is, how likely is it that any of the affected plaintiffs would win a preliminary injunction against the FCC that would hold, preventing the implementation of this reclassification while the lawsuits wend their way through the courts? And in a more general query, how high is the success ratio with preliminary injunctions against federal regulatory bodies when regulations are changed that specifically affect commerce, as opposed to regulations that say, affect constitutional rights (example: the Forest Service reclassifying an area as protected that was previously declared commercially exploitable)?

2

One standard for getting injunctive relief can be phrased as follows:

Plaintiff must demonstrate four things:

  1. That she is likely to be successful on the merits;
  2. That she will suffer irreparable harm;
  3. The harm Plaintiff would suffer outweighs any burden imposed upon Defendant; and
  4. The public interest be served by the issuance of an injunction.

Other variations of that general standard likely exist, and may apply in this instance for all I know.