Having trouble with timing...
There are different rythms of timing with different styles, different sports, and different types of training. Although Kendo is physical, and fun, its timing is different from fencing, or even fighting with saber and knife. (side bar: When you see something in the movies or on television, it helps to do some real research to understand what they have created to make hollywood verses reality of a fighting art ... never take hollywood as truth. Maybe that is why I laugh at some of the movie version fighters ... stunt scenes?)
Seiichi Sugano sensei does the Bokken seminars while Yoshimitsu Yamada sensei is known as the hand to hand whirlwind for NYC Aikikai, started learn to fence with a foil at sixty years of age? Why? Different art, different feel, something new to be experienced, even after forty years of Aikido?
There is no one martial art that will always protect you. There is no one martial art that will give you all the training you will need, although some people become so good at one art it certainly seems that way ... until they lose.
If you are entrenched in training in one discipline without having learned enough of its basic tenents to adapt/change, then return to its true form later, do not deviate from training until you have it in your mind, feel it in your body.
I like being able to return to how something should feel when performed, whether by description in memory or gut feeling, to make it naturally yours.
As far as changing your timing, playing tag in practice, and either being stiff and rooted in movements, or flowing and mobile ... the faster you become the less stiff the japanese training becomes, and the more stiff the flowing Chinese training becomes ... each flows as mastery is almost attained but never achieved.
Work on two or more rythms with heavy bag. It should be the same as kendo practice, but without the stick. An old game I played as a kid was slap tag. Kind of like gentle boxing because touch is used instead of strikes, a gentler form of programing against offense, learning defense. Different people get into different rythms, sometimes you will have to break that rythm of opponent, or break up your rythm to maintain defense. (Even Aikido people get into certain rythms, with certain combinations, creating openings for you.)
Observe some fencing verses watching people doing Kendo, then think about what you see. Observe hand to hand Aikido verses timing of Muay Tai, even boxing ... what you are asking to learn will be apparent. The diversity of these things will smack you right between the eyes with it subtile differences, and give you your answer too.
Some of the people who have crossed trained in other arts, or have studied the differences of other arts should have video tapes you can borrow, ask around? You will be surprised at how knowledgeable and friendly many teachers and advanced students are to help.
Remember, there is no magic solution to all fighting problems, but with knowledge it becomes easier to piece together answers. Keep studying, practicing ... they will come.