If you set up a new company are you not then in direct competition with the incorporated company? Remember, a limited company is it's own legal entity. You are merely a shareholder a/o director. You might very well have articles of incorporation filed wherein it states a director cannot be in direct competition (commonly referred to as a "personal services contract").
Articles of incorporation do not make these statements. If anywhere, it would be in an employment agreement between him and his company. In common law a director has a fiduciary duty to the company to act in the best interests of the company, but there is virtually nothing that will prevent a director from carrying on a similar business in another company.
I don't work in a law firm in Alberta and therefore anything I say is mostly based off of my experience in another province, if your ex is a shareholder, she will have to sign the resolution authorizing the dissolution or she will have to consent to the dissolution at a meeting of the shareholders. If you have 60% of the issued shares, you don't have enough of the shares to unilaterally dissolve the corporation if she won't consent:
(ii) “special resolution” means a resolution passed by a majority
of not less than 2/3 of the votes cast by the shareholders who
voted in respect of that resolution or signed by all the
shareholders entitled to vote on that resolution;
(3) A corporation may liquidate and dissolve by special resolution
of the shareholders or, if the corporation has issued more than one
class of shares, by special resolution of the holders of each class
whether or not they are otherwise entitled to vote.
http://www.google.ca/url?sa=t&rct=j...HynVuYD2ncmeOOABg&sig2=R173sASNTInvKieGZ0-hnQ
In Ontario you also have to distribute all of the assets to the shareholders (after paying off any liabilities) and file a tax return stating that there are no assets or liabilities so you can get the consent from the Ministry of Finance to dissolve.
If you were in Ontario, and your ex is a director and/or officer, you could remove her as you have enough votes to do so. She would have the right to be heard at the meeting removing her, but that won't help her as you could simply out vote her. Once she is removed as a director, you could remove her as an officer.
But dissolving the company likely won't be possible unless she consents. Should you try, and possibly succeed, to dissolve the company without her knowledge or consent, you would likely be bent over pretty hard by a judge for acting illegally & unreasonably and your credibility would be shot.