Greece has full support of not only west but interestingly Arab monarchs afraid of Ottoman empire revival. They are and shall financially support Greece against Turkey just like Egypt getting heavy financial aid along with military supply.Not very likely.
Greece does not have the budget to afford F-35s.
The Turkish research and projects shall pay off in near future but one worrying factor is perhaps there Air force is still looks to be little bit limited in capabilities with F16s and F4s. They should look for Chinese or Russian option on immediate basis to counter F35s/F16 block V coming soon to Greece. Another main participant is Egypt also now having blend of Russian/French modern jets.