Hi @jared8, thanks for your patience, I did take a look at this, and did a little checking with LinkedIn documentation and I think the way to go, is to create duplicate of the LinkedIn embed, set the first embed to be shown on Desktop, Tablet Portrait and Mobile landscape, and the second embed to be shown on mobile portrait only.
I am going to keep the same class for both html embeds, and add an additional class for the second embed, and adjust the left and right margins set to 0px.
On the second embed, I am going to update the LinkedIn snippet to add an additional attribute: data-width="300".
<script type="IN/MemberProfile" data-id="https://www.linkedin.com/in/jaredfeit" data-format="inline" data-width="300" data-related="false"></script>
Once those changes are saved, you can then republish the site, to see how it works for you
I made a quick video to describe this : http://quick.as/7blncgogy
Unfortunately, LinkedIn does not provide a truly responsive native embed, so you you need to adjust the width manually on mobile portrait. I hope this helps, let me know cheers, Dave