Ignoring the fact that a great share of voters within FPTP do not vote at all or do not vote for the party of their preference because it's unrealistic or it simply does not exist. FPTP kills off the alternatives and then you cry 'yay it's democratic now!'. You get what you voted for? Yeah, unless you happen to (wish to) vote for a third party.
Not to mention that governments coming to power in a FPTP system almost never actually gain the actual majority of votes. The Conservatives in 2015 got only 36.6%. Almost 2 of every 3 British voters who actually cast their vote (Because 1 in 3 of voters actually didn't even bother going to the polls) voted something else then Conservatives, yet the government consisted solely of Conservatives and persued only Conservative policies. With PR systems, the coalition government is the combined position of parties that actually represent a majority of the citizens.
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No, nobody is happy with giving up on some policies, but guess what: That's life. People have very different opinions on matters. Those opinions needs to be represented, even if they do not become policy. That's the purpose of parliament. It's a farce to say 'well, that's too difficult!' and simply create a system in which small parties are killed off one by one until there are only two options left.