Why not talk about team building? Why team alignment?
Team building is nice, but you can have a team that gets along great and accomplishes very little. What good is that to your business?
A team that is truly aligned on what they need to do and how they can get it done, is already a long way to having good team chemistry.
"Alignment is a necessary condition before empowering individuals. Empowering the individual when there is a relatively low level of alignment worsens the chaos and makes managing the team more difficult." ... Peter Michael Senge

Communication skills and genuine respect for fellow workers is also very important, both of which become easier when there is genuine alignment of purpose and priorities.
So yes, we enjoy helping companies improve their communication skills with focused programs that are designed to deliver results for the business.
And yes, we use Personality Profiling tools to encourage greater understanding and respect amongst team members.
But the focus is on alignment: aligning the team to the business objectives and priorities so the business gets results and the team is engaged and energized.
What a virtual executive can do for you in this context:

Communication Skills Training
Understand how to have key issues discussed, debated and resolved in a respectful manner.

Personality Profiling
Understand why others do not think like you (and vice versa) and how that builds strength in the organization

Prioritization
Identifying and communicating the high-priority activities of the organization

Integration and Alignment
Translating the over-arching business strategies and objectives so everyone understand how they contribute