A large part of the mass from the Slammers' blowers stems from their need to use iridium for armor.
The sensor suites, fire-control, tracking, and communications systems are considerably more advanced than what is available to the BTU.
They do not use blown-air skirts, for the record, but rigid-steel aprons and they are technically classified as ground-effect vehicles as opposed to pure hovercraft.
The combat cars are tank-sized, but the M2 tanks themselves are easily 2-3 times the size of a modern MBT. I shall not debate ground pressure and other minutia, but they are not the size of a tank as we viscerally understand the term.
The present game, indeed published by Pireme Publishing, is called
The Crucible.
The key to converting Renegade Legion gravtanks to the BTU--or vice versa--is fundamentally figuring out how weapons affect armor. The Rosetta Stone is nuclear weapons, since that is the primary real-world commonality between the two milieus.
Movement is easy. They move like VTOLs but with the aerospace mechanic of turn radii-based-on-velocity. They have better handling abilities; they do not sideslip and can reach incredible velocities that must be handled with care by the crew. They can enter all the same terrain a BattleMech can, including submerging in water, and can reach aircraft-level altitudes (but not orbits, by themselves, on a normal planet).
Once the damage-mechanic is settled, everything else will fall into place. The aforementioned special equipment, like planar lasers for cutting paths through forests, special munitions, etc., as well as infantry and fire support, do not need much conversion at all (though their infantry is considerably deadlier than the BTU's jump-infantry.