"a consistent stance" is an acceptable and usable phrase in written English.
You can use it when referring to a continuous attitude or opinion about something. For example, "The mayor has taken a consistent stance on public safety throughout her term in office."
This has been a consistent stance.
Pauline Neville-Jones has taken a consistent stance.
More recently he has changed his tune maintaining a consistent stance of European integration and good relations with Serbia's neighbours.
The apparent inconsistencies came into focus when the Supreme Court -- one player in the online pornography wars that has maintained a consistent stance on filters -- handed down its decision in the A.C.L.U.'s challenge to the Child Online Protection Act.
But in Vernal, a town that sits amid vast underground reserves of oil and gas as well as scenic treasures, critics say the bureau office under Mr. Stringer has taken a consistent stance all along: make way for drilling.
While there's little past polling on cabinet nominations, a few previous surveys on Supreme Court nominations suggest neither Democrats nor Republicans have held a consistent stance on whether the confirmation process should be driven purely by qualifications.
The only reason why this became an issue is that there is a small but vociferous group of climate 'sceptics' lobbying against taking action, so the BBC is behaving like a coward and refusing to take a more consistent stance".
And at least he has taken a bold, consistent stance on the issue.
On Iraq Taking a principled and consistent stance over Iraq has attracted much criticism from our detractors and opponents.
His rhetorical question to the colonists "How is it that we hear the loudest yelps for liberty from the drivers of Negroes?" can be traced in large part to a principled and consistent stance against colonial oppression.
A new Chinese policy paper on Taiwan, which has prompted a furious reaction in the United States, merely "reiterates the government's consistent stance" and does not represent a change in policy, a senior Chinese official said today.
