Hi Donovan,
Thanks for reaching out to us on this! Interesting request…
At this point we only have shortcode support for widgets. We are working on shortcode support for full views, and hopefully we will see that included in next feature release 4.3 coming out late next month (at least that’s the plan now).
There’s a third-party plugin that add short code functionality to The Events Calendar code version: https://wordpress.org/plugins/the-events-calendar-shortcode/ – I haven’t tried it out and I don’t think it will help you out on this one but might be a good starting point if you are trying to work on this.
Regarding the events bar there’s no easy way of including it in all pages. There’s a past exchange that exemplifies a bit the situation: https://theeventscalendar.com/support/forums/topic/include-tribe-bar-on-every-page/
Rounding up, it’s possible to build this customization by including the events bar template, styles and scripts. It will probably require some custom code to link all parts but sounds doable. As this is an advanced customization we won’t be able to help much on the details, but surely point you into the right direction if you have any doubts along the way.
Best,
Nico