The Swedish airforce's main cold war task was anti-shipping operations to stop a Soviet invasion. The heaviest attack unit was subordinate to the Supreme Commander, not the head of the air force. The Air Force would be dispersed on an extensive network of road bases.
Strategic coastal areas were fortified with coastal artillery. Fixed and mobile.
A scenario with Swedish troops in Germany feels unlikely, troops in Finland sounds much more likely.
Sweden's official cold war stance was (paraprahsed) "free from alliances in peace, aiming for neutrality in war". However, there was extensive planning for being on NATO's side in a war.
Gotland would be sought after as a forward base area (aircraft and anti-aircraft assets) for both sides.