No.. you definitely don't want to find that code in JFBConnect and remove it. That's the code that generates all of our social login buttons.
There's a few options I would suggest here. First, JFBConnect is not adding that button to JomSocial. It's done by JomSocial when you have the "Use JFBConnect" option within JomSocial. When that's enabled, JomSocial asks JFBConnect for the social login button code and adds it to various pages. To my knowledge, that's all that setting does, so if you don't want it on any of the pages of JomSocial (or want to add those buttons manually), you can disable that setting. JFBConnect will still import profile data into JomSocial using our social profile plugins.
Another option is to add some CSS to your template to hide the button from that page. You'd need to find the right selector to do so, but Chrome tools can help. Once you click on the <div class="social-login facebook jfbcLogin pull-left"> element, use the '+' button and that will generate a pretty specific selector for you. Then, add:
That should hide the button. If so, add that full style to your template and make sure it doesn't accidentally remove the button from other pages.
I hope that helps give you some ideas, but if you need anything else, just let us know.
Thanks,
Alex