The phrase "alter deeply" is correct and usable in written English.
It can be used when discussing significant changes or transformations in a person's thoughts, feelings, or circumstances.
Example: "The experience of traveling abroad can alter deeply one's perspective on life and culture."
Alternatives: "profoundly change" or "significantly transform".
It seems no amount of political correctness can, of itself, alter deeply ingrained prejudices.
People resist new products for a variety of reasons, but the biggest is a reluctance to alter deeply ingrained mind-sets and routines.
And stand-alone interventions, such as setting up rescue centres or introducing alternative rites of passage, have not been enough to alter deeply imbedded attitudes that put a high premium on girls' sexual reputations and premarital virginity.
Internet activism may effectively garner support for a cause within the online audience, but Change.org petitions will never alter deeply ingrained social norms or overthrow dictatorships.
The Senate is working on a dramatically different version of that bill, which almost guarantees a situation where trucking lobbyists have thrived -- a rush to finish a must-pass bill behind closed doors with a looming deadline and little ability to alter deeply buried provisions.
Recent findings in the field of neurogenetics have altered deeply our approach to migraine, emphasising the limits of the current diagnostic and nosographic system.
The regular array of lamellar MLV membranes was altered deeply as revealed by the decrease of the Bragg-peaks intensity and the increase of the form factor contribution of the bilayers (Fig 6B).
But he is realistic about his ability to alter a deeply ingrained culture.
Pushed, Keith admits he will have to alter the deeply slanted windshield, and there will likely be some sort of roll bar, since the car will not have a hard top.
Even without considering the reasons why participants switched views, these switches provide a clear indication of the multiple considerations participants had in relation to preferred consent choices when the opportunity to consider pertinent related issues was provided and when there are no constraints on time or space to alter, perhaps deeply ingrained, initial preferences.
The buzz: "A mind-altering, deeply emotional listening experience".
