You guys talking about striking are completely forgetting who ultimately is paying your salaries and the MOST IMPORTANT factor.....the "owners" who sign up for limited terms. They are forking out big bucks for personal/corporate travel, and frankly I bet the majority of them don't even realize you are unionized. For those owners that fly a lot (and therefore pay the most), they are paying more than they would if they had their own coporate flight department ....they know this, they aren't stupid....but they knowingly pay this higher price for the convenience of NOT managing their own internal gig.
Now, imagine if suddenly everything they have been paying for and counting on suddenly screeches to a halt, or is seriously threatened by a job action in the form of a pilot strike? These people DON'T want airline-type hassles or they wouldn't be in your cabins in the first place, and for a passenger (who frankly doesn't care about these issues) a pilot strike is the biggest airline-type hassle there is. Even the serious and public threat of striking will give them pause.
Definitely go for pay increases through collective bargaining, but consider who you will be affecting if you actually went on strike. They are riding in the back of your aircraft only for the duration of THEIR contract life, regardless of yours. Fractionals are the alternative to airline travel for those with the means, but remember there is already a cheaper alternative to fractional ownership for those people who are flying more than about 300 hours a year...a corporate flight department...and that is still an option even if it means paying a little more. If you inject HASSLE AND UNCERTAINTY resulting from a strike into their travel needs there will ba a lot of those contracts not getting renewed.
I'd look hard before using the biggest airline-mentality, "us vs. mngmnt" hammer when trying to fix your problem that exists in the "business aviation" world. The people you affect the most really don't need you...they can hire their own pilots and buy their own airplanes if they want to.