"moderate ambition" is correct and usable in written English.
You can use it to refer to a goal or desire that is neither too extreme nor minimal. For example, "My daughter has moderate ambition when it comes to her academic goals; she wants to excel, but not at the expense of everything else."
In the end, this is a drama of moderate ambition, but a strangely satisfying one.
In that environment, Thompson Square's anonymity and moderate ambition are assets of a sort.
In any life of moderate ambition and engagement, there will have been periods of luck and no luck.
And you will note that the populist goal has a direct connection to middle class economic interests — since for at least some middle-income Americans, the mandate will turn out to be a fine for not purchasing a product that's suddenly become more expensive — whereas the more moderate ambition mostly sets hearts aflutter in the medical device industry and on K Street.
The terrain matched our moderate ambitions.
And she confessed that she was frustrated with his moderate ambitions: "He doesn't have that same drive that I do".
American officials could then wait for the troublesome and domineering Sunnis, without oil or oil revenues, to moderate their ambitions or suffer the consequences.
Two approaches seek to moderate the ambitions of distributive justice in ways that may be congenial to disability scholars.
Even the most adamant advocates of a purge now say that time, economics and pragmatic considerations have moderated their ambitions.
The EU should learn to live with some mutual suspicion, by moderating its ambitions and respecting national self-interest, rather than pretending that it can go back to the days when countries trusted one another enough to pool big chunks of their fundamental sovereignty.
"We are going to have to moderate our own ambitions.
