XSL Transformation - Merge elements

I am trying to merge 2 xml files (as strings in the code).

<Root>
    <AMA>
        <Profile>
            <UniqueID id="3"/>
            <Name type="UN">TOTO</Name>
            <Address>AAA</Address>
        </Profile>
        <Profile>
            <UniqueID id="4"/>
            <Name>TOTA</Name>
            <Address>BBB</Address>
        </Profile>
        <Profile>
            <UniqueID id="5"/>
            <Name>TOTQ</Name>
        </Profile>
        <Profile>
            <UniqueID id="6"/>
            <Name>TOTG</Name>
        </Profile>
        <Profile>
            <UniqueID id="7"/>
            <Name>TOTB</Name>
            <Address>CCC</Address>
        </Profile>
    </AMA>
    <External>
        <Profile>
            <UniqueID id="3"/>
            <Miles>5</Miles>
        </Profile>
        <Profile>
            <UniqueID id="4"/>
            <Miles>4</Miles>
<Points>22222</Points>
        </Profile>
        <Profile>
            <UniqueID id="5"/>
            <Miles>3</Miles>
        </Profile>
        <Profile>
            <UniqueID id="6"/>
            <Miles>2</Miles>
        </Profile>
        <Profile>
            <UniqueID id="7"/>
            <Miles>1</Miles>
        </Profile>
    </External>
</Root>

I want to obtain

<?xml version="1.0" encoding="ISO-8859-1"?>
<Root>
    <Profile>
        <UniqueID id="3"/>
        <Name type="UN">TOTO</Name>
        <Address>AAA</Address>
        <Miles>5</Miles>
    </Profile>
    <Profile>
        <UniqueID id="4"/>
        <Name>TOTA</Name>
        <Address>BBB</Address>
        <Miles>4</Miles>
        <Points>22222</Points>
    </Profile>
    <Profile>
        <UniqueID id="5"/>
        <Name>TOTQ</Name>
        <Miles>3</Miles>
    </Profile>
    <Profile>
        <UniqueID id="6"/>
        <Name>TOTG</Name>
        <Miles>2</Miles>
    </Profile>
    <Profile>
        <UniqueID id="7"/>
        <Name>TOTB</Name>
        <Address>CCC</Address>
        <Miles>1</Miles>
    </Profile>
</Root>

I managed to write something like:

<?xml version="1.0" encoding="ISO-8859-1"?>
<xsl:transform version="1.0" xmlns:xsl="http://ift.tt/tCZ8VR">
    <xsl:output method="xml" version="1.0" encoding="ISO-8859-1" indent="yes" />
    <Root>
    <xsl:template match="/Root/AMA/Profile">
        <Profile>
            <xsl:for-each select=".">
                <xsl:copy-of select="@*|node()"/>
                <xsl:copy-of select="/Root/External/Profile/UniqueID[@id=current()/UniqueID/@id]/../(Miles|Points)"/>
            </xsl:for-each>
        </Profile>
    </xsl:template>
    <xsl:template match="/root/External"/>
</xsl:transform>
    </Root>

How is it possible to avoid "hardcoding" the Profile node? It seems another method exists, using the XSLT Lookup Tables and here... But it seems a little overkill.

Do you think there is a better solution?