For kendo, you can try the Manila Kendo Club which is based in the RFM Gym which is near the Boni-EDSA Intersection in Mandaluyong City. Practice sessions are every Saturday, 5-7 pm. Unfortunately we only take students every first Saturday of January and July, so you're a little late for the July class. You are very much welcome to drop by and view a session though.
For iaido, someone started a study group for Mugai Ryu in the Kiryukan Dojo, P. Tuazon cor 10th Ave, Cubao, Quezon City. Not sure about the details, but I believe they hold classes every Saturday, 1-230pm.
1) I am a member of Manila Kendo Club.