Are you aware of any relevant precedent for this?
The US leaned on Iceland really hard to reject China's invitation to the Belt and Road initiative (to the point where our politicians looked like complete jackasses), but I believe Iceland still hasn't joined in.
Going back way much further in history, the US also publicly pressured Iceland into desegregating Keflavik, after private negotiations didn't work out
> The US government complied with an Icelandic government request not to station black soldiers on the US base in Keflavík, Iceland until the 1970s and 1980s when black soldiers began to be stationed in Iceland.
Thankfully, most countries are not in a position where they're even slightly concerned about a physical invasion. We have almost universally decided that invasion/conquest is a morally bad thing to engage in, so to my mind the continued effort to expand military forces implies an intention to break this agreed upon moral standing or at the least a lack of commitment to the stance.
There are allegedly 20 aircraft in the Irish Air Corps [1] and I sure hope we're in advanced enough stage of society that we're not solely reliant on those to protect ourselves!
https://en.wikipedia.org/wiki/Ireland%E2%80%93NATO_relations
In February 2015, two Russian Tupolev Tu-95 "Bear" nuclear-capable strategic bombers entered Irish-controlled airspace without permission, without forewarning, with their transponders switched off and failed to file flight plans, causing serious concern at the Irish Aviation Authority (IAA), which was forced to divert a number of civil passenger aircraft out of the path of the Russian bombers as a precautionary measure.[24] The Russian military aircraft were interrogated by RAF Eurofighter Typhoon jets scrambled from the United Kingdom, demonstrating the lack of an Irish military response and the reliance on the UK for the protection of Irish airspace.
...
The reports revealed that the Irish Department of Defence, Department of Foreign Affairs and Irish Aviation Authority entered into a bilateral agreement with the British RAF, Civil Aviation Authority, Ministry for Defence and Foreign and Commonwealth Office permitting the British military to conduct armed operations inside Irish sovereign or Irish-controlled airspace in the event of a real time or envisaged threat of an aerial terrorist-related attack on Ireland or on a neighbouring country.