The phrase "an uncommon position" is correct and usable in written English.
You can use it to describe a situation, viewpoint, or job role that is not frequently encountered or is rare.
Example: "His perspective on the issue was an uncommon position that sparked a lively debate among the participants."
Alternatives: "a rare stance" or "an unusual viewpoint."
This is not an uncommon position, but Lazio has also voted for anti-abortion measures that virtually all pro-abortion-rights legislators in both parties opposed.
Pearson was in an uncommon position of strength, owning two such brands in the FT and the Economist, and it is no surprise that both have sold for more than commentators initially predicted.
As a man who is black and gay, I find this to be asinine, but not an uncommon position amongst many in the black heterosexual community.
Earlier this year, Costco's current CEO, Craig Jelinek, took an uncommon position for a retail executive -- he said the federal minimum wage, which is currently $7.25, should be boosted to more than $10.
Within the partialist camp, a strict partialist might be defined as holding that no sort of impartiality plays any moral role whatsoever — a logically possible, but uncommon, position.
But among departing senators, Mr. Dodd finds himself in the uncommon position of ending his run with a triumph.
The origin of his uncommon position on Christianity is found in his opposition to the common Aristotelian-Maimonidean Averroist trend of Jewish philosophy.
Despite Madeon's uncommon position as both product and creator of this decade's dance music zeitgeist, he's ambivalent about electronic music being analysed as part of a larger societal statement.
Much of the recently passed New Deal legislation was being tried in the courts for constitutionality and enforcement, putting Minton in the uncommon position of adjudicating cases depending on legislation he had helped write.
