We've had a lot of hypothetical scenarios thrown around here, including some proclamations about how "the rest of the Inner Sphere won't let the Jaguars glass the TC." It's because we don't have a baseline scenario with all the actual info down. Do the Jaguars have to come through the FedSuns (aka through the entire stravag Inner Sphere) to hit the Concordat? Are they circling around the Combine, the Outworlds and the FedSuns to hit the TC from the side? What's the objective of the campaign - occupation of worlds, destruction of industry, or extermination of the Concordat as a whole?
No one knows.
So let me say what I would do in my specific scenario, in which the Jaguars have come around the Inner Sphere and are hitting the Hyades Cluster (Taurus and every world in a one jump radius) with a Demolition attack - destruction of all industrial concerns above that of present day Earth.
-Warship Stars carry zero ground forces, only carrier/assault dropships
-Roving convoys of jumpships and contracted Potemkin/Carracks from the Diamond Sharks and Snow Ravens act as heavily gunned supply trains
-The Jaguars have 26 warships, enough for six four-ship Naval stars and two more "rovers"
-Each star jumps into a zenith point with 300+ Omnifighters flying CAP and proceed to dismantle every Taurian ASF, dropship and gunboat they can find. FYI, the Taurians were NOTORIOUSLY short on fighters among even Periphery states, often with no more than two squadrons assigned per world/regiment
-Once all orbital threats to the Warships are silenced, Warships proceed to geosynchronus orbit and use Ortillery to level all military and industrial targets in conjunction with ASF strikes.
-Rinse, repeat on other worlds. Once every world within a two-jump radius of Taurus has been subject to the strikes, call it a day and GTFO.
The Taurian attitude and reputation is not overblown, it's just groundbound. The Periphery, 2nd Edition (sourcebook) and Era Report: 3052 indicate that the Taurians had less than 70 total ASF squadrons in it's entire active inventory - and that's across the entirety of the ****** Taurian Defense Forces.
Once the SASF, the TDF fighters and what few dropships they have are swatted away by Jaguar Omnifighters and Warships, that's the entire ballgame. All the tenacity, hutzpah and ornery attitude in the universe does you jack diddly squat if you're on the surface with a rifle or an SRM launcher and there's Warships controlling your orbit turning your bases, factories and what's left of your tech base into rubble.