I just bought the TBM and have almost the same configuraiton, XPlane 11.51 Linux (with Saitek/Logitech Pro Flight Multi Panel) , Navigraph latest cycle (11.50+)
If i activate the ILS APP in the G1000, it follows the GPS approach (in APR AP mode), the CDI switch auto from GPS to LOC/GS and I can see the LOC + GS but the AP does not switch to the ILS after capturing it. Even manually i can't make it follow the ILS. Other problem the ILS is not aligned with the runway (LFGJ)
No problem with plain 172 G1000 or EPIC 1000 G1000
Should i enter a separate issue unless i am doing something wrong ? i am disapointed because bought the TBM at that price to do realistic IFR training (not just LPV APP)
Best and happy new year to all