Conservatives and liberals approach almost every issue with completely different philosophies, underlying assumptions, and methods. That's why it's so hard to find genuine compromise between conservatism and liberalism -- because not only are liberals almost always wrong, their solutions almost always make things worse.
With that in mind, let me take a few moments to explain some of the key differences between liberals and conservative to you.
Bonus) Conservatives believe that judges should act like umpires instead of legislating from the bench. That means that judges should determine whether laws are permissible under the Constitution and settle debates about the meaning of laws, not impose their will based on their ideological leanings. Liberals view judges as a backdoor method of getting unpopular left-leaning legislation passed. They don't want umpires, they want political partisans in black robes who will side with them first and then come up with a rationale to explain it.
10) Conservatives believe that individual Americans have a right to defend themselves and their families with guns and that right cannot be taken away by any method short of a Constitutional Amendment, which conservatives would oppose. Liberals believe by taking arms away from law abiding citizens, they can prevent criminals, who aren't going to abide by gun control laws, from using guns in the commission of crimes.
9) Conservatives believe that we should live in a color blind society where every individual is judged on the content of his character and the merits of his actions. On the other hand, liberals believe that it's ok to discriminate based on race as long as it primarily benefits minority groups.
8) Conservatives are capitalists and believe that entrepreneurs who amass great wealth through their own efforts are good for the country and shouldn't be punished for being successful. Liberals are socialists who view successful business owners as people who cheated the system somehow or got lucky. That's why they don't respect high achievers and see them as little more than piggy banks for their programs.
7) Conservatives believe that abortion ends the life of an innocent child and since we believe that infanticide is wrong, we oppose abortion. Most liberals, despite what they'll tell you, believe that abortion ends the life of an innocent child, but they prefer killing the baby to inconveniencing the mother.6) Conservatives believe in confronting and defeating enemies of the United States before they can harm American citizens. Liberals believe in using law enforcement measures to deal with terrorism, which means that they feel we should allow terrorists to train, plan, and actually attempt to kill Americans before we try to arrest them -- as if you can just send the police around to pick up a terrorist mastermind hiding in Iran or the wilds of Pakistan.
5) Conservatives, but not necessarily Republicans (which is unfortunate), believe it's vitally important to the future of the country to reduce the size of government, keep taxes low, balance the budget, and get this country out of debt. Liberals, and Democrats for that matter, believe in big government, high taxes, and they have never met a new spending program they didn't like, whether we will have to go into debt to pay for it or not.
4) Conservatives believe that government, by its very nature, tends to be inefficient, incompetent, wasteful, and power hungry. That's why we believe that the government that governs least, governs best. Liberals think that the solution to every problem is another government program. Even when those new programs create new problems, often worse than the ones that were being fixed in the first place, the solution is always....you guessed it, another government program.
3) Conservatives are patriotic, believe that America is a great nation, and are primarily interested in looking out for the good of the country. That's why we believe in "American exceptionalism" and "America first." Liberals are internationalists who are more concerned about what Europeans think of us and staying in the good graces of the corrupt bureaucrats who control the UN than looking out for the best interests of this nation.
1) Conservatives believe in pursuing policies because they're pragmatic and because they work. Liberals believe in pursuing policies because they're "nice" and make them feel good. Whether the policies they're advocating actually work or not is of secondary importance to them.