First off, let's get terminology straight. Communication requires clear communication.
A: As conservatives, we are not neccessarily Republicans, so it is incorrect to use this terminology as a reference to the movement that is currently underway in this country. The term 'Liberal' is just as false. In fact, classical liberalism has a whole lot more in common with American conservatism than the philosophical core of the Democratic Party which is, at this time, patently Leftist.
Now, to address the body of the post...
"These are 4 questions only Republicans can answer, this means only the Republican community."
A: We are a community only to the extent that we are freedom loving Americans. Many of us disagree, sometime violently, with Republican leadership and policy. None of us, however, disagree with our Founder's vision of freedom and liberty.
"The goal is to build a framework of civil communication between Liberals and Republicans."
A: In nearly 30 years of conservative political convictions, I can hardly remember a handful of "liberal" (your incorrect term) examples of "civil communication" when discussing issues with a genuine conservative. Most often, at the height of Democrat power, a token conservative such as Bill Buckley might be displayed much as a sympathetic black person at a wine and cheese fund raiser.
"Do Republican plan to share this country or should Liberals leave?"
A: A loaded question and highly indicative of your basic assumptions. FYI, you are welcome to stay as long as you keep your illicit use of power out of American government, private lives and personal pockets. If you are a Leftist, however, you would certainly be happier living somewhere that takes care of you in line with a collectivist philosophy. I guess the question needing to asked is: If you disagree with the foundational tenets of American liberty and governance, do you really want to stay?
Now for the questions...
1. "What are your goals as Republicans?"
A: Your incorrect terminology fails to give a basis for a full answer. To be precise (and in the context of your question), Republican goals would be to take all public offices in any political race against Democrats and enact the platforms of the Republican Party. What conservatism's goals are would be broader but simpler. We wish to return the nation to its foundational organization and eliminate as much governmental control over lives as possible under the doctrine and directives of the "...enumerated powers...".
2. "Is your goal to make Liberals to leave America?"
A: Already answered. Do you plan on leaving?
3. "If you want us to stay, when does this country go too far to the right?"
A: Get that silly notion of 'right and left' out of your noggin. All government is the excercise of power and all government gravitates to excess and usurpation of personal liberties. On the true continuum of Totalitarian Statehood going to Anarchy, America was definitely on the side that favored personal freedoms. There will never be a stopping point for conservative activism until government is chained and contained in its proper position - that of service to freedom and the expansion of individual liberties.
4. "If you want us to leave, will the US government pay for our plane tickets?"
A: Not as a policy of government. However, we have been robbed for decades to finance Leftist schemes so we are quite generous with you folks. Organize a fund raiser and we'll likely contribute.
WOW! That was excellent.