We don't have a built-in way to do this. If you want to add a Like or Share button to a profile, it would need similar code to what we helped you with for JomSocial posts where a modification to a JS template file is required to add the Like/Share button.
That will take a little to investigate, as I don't know all the JomSocial template files or how best to generate the link, but it's something we can look into. When supporting 3rd party extensions it always takes more effort since it's not our own code. You may also be able to get some suggestions from JomSocial support now that you've seen the tag that we'd need to add for a Like/Share button into their code.
Thanks,
Alex