Widmore is neither Team Jacob, nor Team MiB, nor Team anything
Widmore is for the island. Read these excepts from Dead is Dead
CHARLES: Kill it.
BEN: It's not an "it". This is a child.
WIDMORE: You might find this difficult to understand, Benjamin... every decision I've made has been about protecting this Island.
BEN: Is killing this baby what Jacob wants?
WIDMORE: Are you quite certain you want to do this, Benjamin?
BEN: You left the Island regularly. You had a daughter with an outsider. You broke the rules, Charles.
WIDMORE: And what makes you think you deserve to take what's mine?
BEN: Because I won't be selfish. Because I'll sacrifice anything to protect this Island.
WIDMORE: You wouldn't sacrifice Alex.
BEN: You're the one who wanted her dead, Charles, not the Island.
WIDMORE: I hope you're right, Benjamin, because if you aren't, and it is the Island that wants her dead, she'll be dead. And one day, you'll be standing where I'm standing now. You'll be the one being banished, and then you'll finally realize that you cannot fight the inevitable. I'll be seeing you, boy.
BEN: Doesn't matter. What matters is I'm going back to the Island today.
WIDMORE: The Island won't let you come back, trust me. I've spent almost 20 years trying to return.
BEN: Well, Charles, where you failed, I'm going to succeed... just as soon as I do one thing.
Widmore anthropomorphises the Island. To him it is alive.
The problem is that Ben has been seduced into working for Jacob; others have been seduced by MiB. The island is actually a third party in all this, and Widmore is convinced that he is working in the island's best interests. Whether or not he is actually working in the island's interests, is a completely different matter, but it is clear from all the above that neither of the teams is doing what Widmore wants.
- MiB was supposed to protect the island, but he has stopped doing that and wants out.
- Jacob was "he who would save us all"; not the island's protector, but some sort of father figure more interested in saving humanity & guiding them, rather than bothering about the island, per se.
Neither of these is consistent with Widmore's aim.