How do I Remove Extra Edit buttons on Template

I did a quick test and was unable to repro.  Can you post the template html?

<font face="Verdana, Geneva, sans-serif" ><font size="6em">{{Name}}</font> 
<b>B:</b> {{#Phone}}{{Phone}}{{/Phone}}{{^Phone}}Not Provided{{/Phone}} 
<b>F:</b> {{#Fax}}{{Fax}}{{/Fax}}{{^Fax}}Not Provided{{/Fax}}</font>

Unable to repro.

<skuidpage unsavedchangeswarning="yes" showsidebar="true" showheader="true" tabtooverride="Contact" personalizationmode="server">   <models>
      <model id="Contact" limit="1" query="true" createrowifnonefound="false" sobject="Contact">
         <fields>
            <field id="FirstName"/>
            <field id="LastName"/>
            <field id="CreatedDate"/>
         </fields>
         <conditions>
            <condition type="param" enclosevalueinquotes="true" operator="=" field="Id" value="id"/>
         </conditions>
         <actions/>
      </model>
   </models>
   <components>
      <pagetitle model="Contact">
         <maintitle>
            <template>{{FirstName}} {{LastName}}</template>
         </maintitle>
         <subtitle>
            <template>{{Model.label}}</template>
         </subtitle>
         <actions>
            <action type="delete"/>
            <action type="clone"/>
            <action type="share"/>
            <action type="savecancel" window="self"/>
         </actions>
      </pagetitle>
      <basicfieldeditor showsavecancel="false" showheader="true" model="Contact" mode="read">
         <columns>
            <column width="50%">
               <sections>
                  <section title="Basics">
                     <fields>
                        <field id="FirstName" valuehalign="" type=""/>
                        <field id="LastName"/>
                     </fields>
                  </section>
               </sections>
            </column>
            <column width="50%">
               <sections>
                  <section title="System Info">
                     <fields>
                        <field id="CreatedDate"/>
                     </fields>
                  </section>
               </sections>
            </column>
         </columns>
      </basicfieldeditor>
      <basicfieldeditor showheader="true" showsavecancel="true" showerrorsinline="true" model="Contact" buttonposition="" uniqueid="sk-3m5A1n-69" mode="read">
         <columns>
            <column width="50%">
               <sections>
                  <section title="Test Pat's Template" collapsible="no">
                     <fields>
                        <field type="COMBO" valuehalign="" editmodebehavior="autopopup" allowhtml="true">
                           <template>&amp;lt;font face="Verdana, Geneva, sans-serif" &amp;gt;
                              &amp;lt;font size="6em"&amp;gt;{{LastName}}&amp;lt;/font&amp;gt;
                              &amp;lt;br&amp;gt;
                              &amp;lt;b&amp;gt;First Name:&amp;lt;/b&amp;gt; 
                              {{#FirstName}}{{FirstName}}{{/FirstName}}{{^FirstName}}Not Provided{{/FirstName}}
                              &amp;lt;br&amp;gt;
                           </template>
                           <label>Test This! &amp;gt;&amp;gt;</label>
                        </field>
                     </fields>
                  </section>
               </sections>
            </column>
            <column width="50%">
               <sections/>
            </column>
         </columns>
      </basicfieldeditor>
   </components>
   <resources>
      <labels/>
      <css/>
      <javascript/>
   </resources>
   <styles>
      <styleitem type="background" bgtype="none"/>
   </styles>
</skuidpage>

Aha! The snag is in having the field editor in edit mode.

There you go!