The Reactionless MD already involves some form of anti-gravity/anti-graviton that causes the mass of your ship to repel the mass of the planet, so I prefer to lump handwaving 'bullshitisms' together.
If you prefer your handwaving bullshitisms separate, then:
1. Fusion generates heat.
2. Advanced Thermocouples convert heat to electricity.
3. MD/JD convert electricity to magic.
4. An advanced heat pump collects waste heat and channels it back to the Fusion Chamber or the Advanced Thermocouples.
Fusion is real (Fusion reactors are handwavium).
Thermocouples are real, so Advanced Thermocouples are handwavium not bullshitium.
MD/JD are bullshitium, but the problems are not thermodynamic, so you should be happy.
Heat pumps are real, so Advanced Heat Pumps are handwavium not bullshitium.
As long as the system is less than 100% efficient (perpetual motion, anyone?) then the laws of thermodynamics are bent but not broken. Using Carnot’s theorem with the temperature of the core of the sun (10^7 K) and space (4 K) yields a maximum efficiency of 99.999996 percent. As technology improves and temperatures reach the CERN LHN 14 trillion electron volts (10^17 K), then maximum efficiency increases to 99.9999999999999996 percent. At the matter-antimatter TL, the maximum efficiency increases to 99.9999999999999999999999999999996 percent.
So, how much energy is needed to accelerate a 100 dT (1000 metric ton ?) scout at 2G for 1 week?
How much waste heat does our black body need to radiate?
Is that Thermodynamic enough for you?
Initial assumptions often place a thumb on the scale, pre-determining the results.
If you open up to the possibility of different assumptions, then you can achieve different results.