Hi @abrambailey, what you describe is offered by the follow button, however users do not see the followers or recent tweets until the button is clicked.
https://dev.twitter.com/docs/follow-button
If you want to display recent tweets up front, you could use an embedded timeline along with the follow button.
https://dev.twitter.com/docs/embedded-timelines
As to “why” we don’t have specifically what you are asking for, I don’t have an answer. This could be a great new widget to complement out existing set, so we’ll take this feedback into consideration. Thanks!