I assume, that we are talking about this Inno Download Plugin. On its source code page I found the idp.iss script file which seems to be an interface to the library. It contains the idpShowDetails function which if you call with the show parameter set to True will show the detail components, that you can see by clicking the details button. What remains then is hiding that details button, which in the script is accessible through the IDPForm record variable's DetailsButton member. Through this member you can set the Visible property to False to hide that button.
To realize this without modifying the original scripts you can include the following piece of code into your existing script:
procedure CurPageChanged(CurPageID: Integer);
begin
// if the downloader page was just shown, then...
if CurPageID = IDPForm.Page.ID then
begin
// show the detail components
idpShowDetails(True);
// and hide the details button
IDPForm.DetailsButton.Visible := False;
end;
end;
And a screenshot:
