You may include me in the "we" that will never spend a dime in a store that had a "no firearms" sign posted.
I'm glad when shop owners who are anti-gun post their stores. The LAST thing I want to do in this economy is spend my hard earned dollars in a store that is ill-informed with respect to their policies.
For the most part, I have bigger fish to fry than spend my time and energy trying to change the mind a store owner of an individual store when there are hundreds of alternative stores of equal or greater substitute.
Now if a national retailer decided to take up a no-firearms position. That may be worth my time to contact and try to offer an informed opinion to sway their position.
Our country was made great by the free will of people to go about their life in the manner of their choosing so long as they didn't tangibly infringe on the right of others to do the same. That doesn't mean that peer pressure does not exist (directly or indirectly) on every member of society. I often speak of the difference between right and wrong and legal and illegal. I don't want the government legislating ALL right and wrong. I want societal/cultural norms/behaviors to influence that. The government ought stick to its core functions.
I'm glad its legal for a business owner to chose. I'm also of the belief that when you believe that is immoral, you should not embrace immoral behavior. (again, not to say I think all immoral behavior should be illegal)
Do I "respect" the choice of a business owner to ban firearms. No. I lose respect for anyone that makes ill-informed decisions. Will I abide by his choice. Yes. Just because I respect the rights of a private property owner does not mean I respect his decisions. I think its selfish for a store owner to prevent me from carrying. Now if he could convince me of a logical reason why its not selfish of him/her, but in the best interest of others, I would change my mind and respect his decision.
Because I think its selfish for a store owner to ban carry in their store, I hope that societal norms/cultural proclivities would shun that kind of behavior. To embrace it pleasantly and say "oh its his right" and not have ANY consequences of that behavior, to me, is immoral because you are encouraging selfishness. Therefore, I will share my displeasure.
Actions and behaviors should have consequences. Those consequences do not have to be legal consequences, or enforced by government, all the time. In fact, many times they should NOT be enforced by government but that doesn't mean they should be enforced by society through peer pressure. That is how cultures evolve.
As to a "boycott" that's just semantics. If I choose not to shop at Farm and Fleet because they don't allow OC am I boycotting? Or do you have to make a big formal organized effort for it to be a boycott? Or does the label really not matter.
As to Charlie Sykes. He's a talking head on the radio. His opinion is no more or less valid than anyone else's he just had a venue to spread his over a larger audience.
Its VERY clear Charlie Sykes doesn't have a freedom minded common-sense position with regard to many sides of the gun rights/carry debate. His own words have already documented that for us.
His opinion that people shouldn't boycott carries no weight with me. He was WAY off on the right to carry debate, why would he be on-target with regard to stores posting no carry signs and people voicing their objection to it.
It is up to EACH individual to make the decision for themselves to what lengths they will go to encourage behavior that they feel is good and discourage behavior that they feel is bad.
When it comes to business, there are an infinite number of factors that go into the decision of where to shop and who to do business with. The stores position on right to carry is but ONE of those factors.
How important a factor it is to you is up to YOU. Not Charlie Sykes or anyone else.
To some, they may still choose to shop at a store posted "no carry" and do nothing.
Others may still shop there but tell the owner "hey, I don't agree, but you have the best prices, so I'll shop here anyway"
For others, the right to carry is important enough that they'll pay more/drive farther, accept crappier service if need to, just to make the decision that is best for them.
For some, they will stand in front of the store (on the public right of way sidewalk) and picket. Its all about what is important to you personally.