Below is the the display template I created for a nullable DateTime property. I have this stored in the Views\Shared\EditorTemplates folder. The name of this template is DisplayNullableDate.cshtml. 
@model DateTime?
@Html.Label("", (Model.HasValue ? Model.Value.ToString("MM/dd/yyyy") : string.Empty), new { @class = "form-control" })
I am calling this template like so on my Details page, however it's not working. I'm still getting the time when it's displayed on the web page. 
<tr>
    <td>@Html.DisplayFor(model => model.RelationshipCode1.EffectiveDate, "DisplayNullableDate", new { @class = "relCodeDate1" })</td>
    <td>@Html.DisplayFor(model => model.RelationshipCode1.RelationshipId, new { @class = "relDistCode1", maxlength = 3 })</td>
</tr>
<tr>
    <td>@Html.DisplayFor(model => model.RelationshipCode2.EffectiveDate, "DisplayNullableDate", new { @class = "relCodeDate2" })</td>
    <td>@Html.DisplayFor(model => model.RelationshipCode2.RelationshipId, new { @class = "relDistCode2", maxlength = 3 })</td>
</tr>
<tr>
    <td>@Html.DisplayFor(model => model.RelationshipCode3.EffectiveDate, "DisplayNullableDate", new { @class = "relCodeDate3" })</td>
    <td>@Html.DisplayFor(model => model.RelationshipCode3.RelationshipId, new { @class = "relDistCode3", maxlength = 3 })</td>
</tr>
<tr>
    <td>@Html.DisplayFor(model => model.RelationshipCode4.EffectiveDate, "DisplayNullableDate", new { @class = "relCodeDate4" })</td>
    <td>@Html.DisplayFor(model => model.RelationshipCode4.RelationshipId, new { @class = "relDistCode4", maxlength = 3 })</td>
</tr>
<tr>
    <td>@Html.DisplayFor(model => model.RelationshipCode5.EffectiveDate, "DisplayNullableDate", new { @class = "relCodeDate5" })</td>
    <td>@Html.DisplayFor(model => model.RelationshipCode5.RelationshipId, new { @class = "relDistCode5", maxlength = 3 })</td>
</tr>
I do have another template for the same nullable property in the same Shared\EditorTemplates folder by the name of NullableDate.cshtml. I don't think this would interfere, however I'll post it anyway just in case. 
@model DateTime?
@Html.TextBox("", (Model.HasValue ? Model.Value.ToString("MM/dd/yyyy") : string.Empty), new { @class = "form-control" })
EDIT
For good measure, here is the model property as it stands right now. Unfortunately I can't get this display format decoration to work either.
    [DisplayName("Effective Date")]
    [DisplayFormat(ApplyFormatInEditMode = true, DataFormatString = "{0:MM/dd/yyyy}")]
    public Nullable<System.DateTime> EffectiveDate { get; set; }
				
                        
I think you need to decorate your model's properties with the
[UIHint("NullableDate")]attribute.